Finding the Fourth Proportional to 11,566.55, 15,964.34 and 7,538.42

Step by Step Solution

1. Step 1: Write the proportion equation
   11,566.55 : 15,964.34 = 7,538.42 : x
2. Step 2: Convert to fraction form
   11,566.55/15,964.34 = 7,538.42/x
3. Step 3: Cross multiply
   11,566.55x = 15,964.34 × 7,538.42
4. Step 4: Simplify right side
   11,566.55x = 120,345,902.16
5. Step 5: Solve for x
   x = 120,345,902.16/11,566.55
6. Step 6: Final answer
   x = 10,404.65