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Finding the Fourth Proportional to 5,146.56, 7,704.72 and 3,192.84

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Solution

The fourth proportional to 5,146.56, 7,704.72 and 3,192.84 is: 4,779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.56 : 7,704.72 = 3,192.84 : x
  2. Step 2: Convert to fraction form
    5,146.56/7,704.72 = 3,192.84/x
  3. Step 3: Cross multiply
    5,146.56x = 7,704.72 × 3,192.84
  4. Step 4: Simplify right side
    5,146.56x = 24,599,938.20
  5. Step 5: Solve for x
    x = 24,599,938.20/5,146.56
  6. Step 6: Final answer
    x = 4,779.88

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