Finding the Fourth Proportional to 10,256.72, 14,154.29 and 5,541

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.72 : 14,154.29 = 5,541 : x
2. Step 2: Convert to fraction form
   10,256.72/14,154.29 = 5,541/x
3. Step 3: Cross multiply
   10,256.72x = 14,154.29 × 5,541
4. Step 4: Simplify right side
   10,256.72x = 78,428,893.19
5. Step 5: Solve for x
   x = 78,428,893.19/10,256.72
6. Step 6: Final answer
   x = 7,646.59