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Finding the Fourth Proportional to 5,786.26, 8,678.40 and 2,666.14

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Solution

The fourth proportional to 5,786.26, 8,678.40 and 2,666.14 is: 3,998.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.26 : 8,678.40 = 2,666.14 : x
  2. Step 2: Convert to fraction form
    5,786.26/8,678.40 = 2,666.14/x
  3. Step 3: Cross multiply
    5,786.26x = 8,678.40 × 2,666.14
  4. Step 4: Simplify right side
    5,786.26x = 23,137,829.38
  5. Step 5: Solve for x
    x = 23,137,829.38/5,786.26
  6. Step 6: Final answer
    x = 3,998.75

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