Finding the Fourth Proportional to 10,256.68, 14,154.23 and 5,540.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.68 : 14,154.23 = 5,540.96 : x
2. Step 2: Convert to fraction form
   10,256.68/14,154.23 = 5,540.96/x
3. Step 3: Cross multiply
   10,256.68x = 14,154.23 × 5,540.96
4. Step 4: Simplify right side
   10,256.68x = 78,427,959.17
5. Step 5: Solve for x
   x = 78,427,959.17/10,256.68
6. Step 6: Final answer
   x = 7,646.53