Finding the Fourth Proportional to 9,752.50, 13,461.89 and 5,777.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,752.50 : 13,461.89 = 5,777.02 : x
2. Step 2: Convert to fraction form
   9,752.50/13,461.89 = 5,777.02/x
3. Step 3: Cross multiply
   9,752.50x = 13,461.89 × 5,777.02
4. Step 4: Simplify right side
   9,752.50x = 77,769,545.23
5. Step 5: Solve for x
   x = 77,769,545.23/9,752.50
6. Step 6: Final answer
   x = 7,974.32