Finding the Fourth Proportional to 11,566.37, 15,964.58 and 7,543.22

Step by Step Solution

1. Step 1: Write the proportion equation
   11,566.37 : 15,964.58 = 7,543.22 : x
2. Step 2: Convert to fraction form
   11,566.37/15,964.58 = 7,543.22/x
3. Step 3: Cross multiply
   11,566.37x = 15,964.58 × 7,543.22
4. Step 4: Simplify right side
   11,566.37x = 120,424,339.15
5. Step 5: Solve for x
   x = 120,424,339.15/11,566.37
6. Step 6: Final answer
   x = 10,411.59