Finding the Fourth Proportional to 9,538.99, 13,166.55 and 5,761.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538.99 : 13,166.55 = 5,761.55 : x
2. Step 2: Convert to fraction form
   9,538.99/13,166.55 = 5,761.55/x
3. Step 3: Cross multiply
   9,538.99x = 13,166.55 × 5,761.55
4. Step 4: Simplify right side
   9,538.99x = 75,859,707.34
5. Step 5: Solve for x
   x = 75,859,707.34/9,538.99
6. Step 6: Final answer
   x = 7,952.60