Finding the Fourth Proportional to 10,256.59, 14,154.11 and 5,540.87

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.59 : 14,154.11 = 5,540.87 : x
2. Step 2: Convert to fraction form
   10,256.59/14,154.11 = 5,540.87/x
3. Step 3: Cross multiply
   10,256.59x = 14,154.11 × 5,540.87
4. Step 4: Simplify right side
   10,256.59x = 78,426,055.77
5. Step 5: Solve for x
   x = 78,426,055.77/10,256.59
6. Step 6: Final answer
   x = 7,646.41