Finding the Fourth Proportional to 9,757.24, 13,463.58 and 5,778.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,757.24 : 13,463.58 = 5,778.52 : x
2. Step 2: Convert to fraction form
   9,757.24/13,463.58 = 5,778.52/x
3. Step 3: Cross multiply
   9,757.24x = 13,463.58 × 5,778.52
4. Step 4: Simplify right side
   9,757.24x = 77,799,566.30
5. Step 5: Solve for x
   x = 77,799,566.30/9,757.24
6. Step 6: Final answer
   x = 7,973.52