Finding the Fourth Proportional to 10,256.62, 14,154.14 and 5,540.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.62 : 14,154.14 = 5,540.91 : x
2. Step 2: Convert to fraction form
   10,256.62/14,154.14 = 5,540.91/x
3. Step 3: Cross multiply
   10,256.62x = 14,154.14 × 5,540.91
4. Step 4: Simplify right side
   10,256.62x = 78,426,815.87
5. Step 5: Solve for x
   x = 78,426,815.87/10,256.62
6. Step 6: Final answer
   x = 7,646.46