Finding the Fourth Proportional to 10,541.34, 15,814.17 and 7,255.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,541.34 : 15,814.17 = 7,255.98 : x
2. Step 2: Convert to fraction form
   10,541.34/15,814.17 = 7,255.98/x
3. Step 3: Cross multiply
   10,541.34x = 15,814.17 × 7,255.98
4. Step 4: Simplify right side
   10,541.34x = 114,747,301.24
5. Step 5: Solve for x
   x = 114,747,301.24/10,541.34
6. Step 6: Final answer
   x = 10,885.46