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Finding the Fourth Proportional to 14,666.78, 20,256.84 and 9,942.86

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Solution

The fourth proportional to 14,666.78, 20,256.84 and 9,942.86 is: 13,732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,666.78 : 20,256.84 = 9,942.86 : x
  2. Step 2: Convert to fraction form
    14,666.78/20,256.84 = 9,942.86/x
  3. Step 3: Cross multiply
    14,666.78x = 20,256.84 × 9,942.86
  4. Step 4: Simplify right side
    14,666.78x = 201,410,974.80
  5. Step 5: Solve for x
    x = 201,410,974.80/14,666.78
  6. Step 6: Final answer
    x = 13,732.46

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