Finding the Fourth Proportional to 10,256.82, 14,154.41 and 5,541.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.82 : 14,154.41 = 5,541.10 : x
2. Step 2: Convert to fraction form
   10,256.82/14,154.41 = 5,541.10/x
3. Step 3: Cross multiply
   10,256.82x = 14,154.41 × 5,541.10
4. Step 4: Simplify right side
   10,256.82x = 78,430,930.48
5. Step 5: Solve for x
   x = 78,430,930.48/10,256.82
6. Step 6: Final answer
   x = 7,646.71