Finding the Fourth Proportional to 11,542.42, 15,922.98 and 7,561.78

Step by Step Solution

1. Step 1: Write the proportion equation
   11,542.42 : 15,922.98 = 7,561.78 : x
2. Step 2: Convert to fraction form
   11,542.42/15,922.98 = 7,561.78/x
3. Step 3: Cross multiply
   11,542.42x = 15,922.98 × 7,561.78
4. Step 4: Simplify right side
   11,542.42x = 120,406,071.70
5. Step 5: Solve for x
   x = 120,406,071.70/11,542.42
6. Step 6: Final answer
   x = 10,431.61