Finding the Fourth Proportional to 9,337.50, 12,879.16 and 5,557.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,337.50 : 12,879.16 = 5,557.75 : x
2. Step 2: Convert to fraction form
   9,337.50/12,879.16 = 5,557.75/x
3. Step 3: Cross multiply
   9,337.50x = 12,879.16 × 5,557.75
4. Step 4: Simplify right side
   9,337.50x = 71,579,151.49
5. Step 5: Solve for x
   x = 71,579,151.49/9,337.50
6. Step 6: Final answer
   x = 7,665.77