Finding the Fourth Proportional to 10,062.52, 13,877.75 and 6,478.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,062.52 : 13,877.75 = 6,478.10 : x
2. Step 2: Convert to fraction form
   10,062.52/13,877.75 = 6,478.10/x
3. Step 3: Cross multiply
   10,062.52x = 13,877.75 × 6,478.10
4. Step 4: Simplify right side
   10,062.52x = 89,901,452.28
5. Step 5: Solve for x
   x = 89,901,452.28/10,062.52
6. Step 6: Final answer
   x = 8,934.29