Finding the Fourth Proportional to 11,597.82, 16,003.92 and 6,562.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,597.82 : 16,003.92 = 6,562.50 : x
2. Step 2: Convert to fraction form
   11,597.82/16,003.92 = 6,562.50/x
3. Step 3: Cross multiply
   11,597.82x = 16,003.92 × 6,562.50
4. Step 4: Simplify right side
   11,597.82x = 105,025,725
5. Step 5: Solve for x
   x = 105,025,725/11,597.82
6. Step 6: Final answer
   x = 9,055.64