Finding the Fourth Proportional to 9,535.37, 13,159.58 and 5,502.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,535.37 : 13,159.58 = 5,502.92 : x
2. Step 2: Convert to fraction form
   9,535.37/13,159.58 = 5,502.92/x
3. Step 3: Cross multiply
   9,535.37x = 13,159.58 × 5,502.92
4. Step 4: Simplify right side
   9,535.37x = 72,416,022.66
5. Step 5: Solve for x
   x = 72,416,022.66/9,535.37
6. Step 6: Final answer
   x = 7,594.47