Finding the Fourth Proportional to 9,523.71, 14,294.88 and 5,150.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,523.71 : 14,294.88 = 5,150.52 : x
2. Step 2: Convert to fraction form
   9,523.71/14,294.88 = 5,150.52/x
3. Step 3: Cross multiply
   9,523.71x = 14,294.88 × 5,150.52
4. Step 4: Simplify right side
   9,523.71x = 73,626,065.34
5. Step 5: Solve for x
   x = 73,626,065.34/9,523.71
6. Step 6: Final answer
   x = 7,730.82