Finding the Fourth Proportional to 9,128.00, 12,597.50 and 5,542.11

Step by Step Solution

1. Step 1: Write the proportion equation
   9,128.00 : 12,597.50 = 5,542.11 : x
2. Step 2: Convert to fraction form
   9,128.00/12,597.50 = 5,542.11/x
3. Step 3: Cross multiply
   9,128.00x = 12,597.50 × 5,542.11
4. Step 4: Simplify right side
   9,128.00x = 69,816,744.58
5. Step 5: Solve for x
   x = 69,816,744.58/9,128.00
6. Step 6: Final answer
   x = 7,648.63