Finding the Fourth Proportional to 6,523.50, 9,002.70 and 3,729

Step by Step Solution

1. Step 1: Write the proportion equation
   6,523.50 : 9,002.70 = 3,729 : x
2. Step 2: Convert to fraction form
   6,523.50/9,002.70 = 3,729/x
3. Step 3: Cross multiply
   6,523.50x = 9,002.70 × 3,729
4. Step 4: Simplify right side
   6,523.50x = 33,571,068.30
5. Step 5: Solve for x
   x = 33,571,068.30/6,523.50
6. Step 6: Final answer
   x = 5,146.17