Finding the Fourth Proportional to 10,256.88, 14,154.50 and 5,541.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.88 : 14,154.50 = 5,541.16 : x
2. Step 2: Convert to fraction form
   10,256.88/14,154.50 = 5,541.16/x
3. Step 3: Cross multiply
   10,256.88x = 14,154.50 × 5,541.16
4. Step 4: Simplify right side
   10,256.88x = 78,432,349.22
5. Step 5: Solve for x
   x = 78,432,349.22/10,256.88
6. Step 6: Final answer
   x = 7,646.80