Finding the Fourth Proportional to 10,055.28, 13,877.95 and 5,580.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,055.28 : 13,877.95 = 5,580.47 : x
2. Step 2: Convert to fraction form
   10,055.28/13,877.95 = 5,580.47/x
3. Step 3: Cross multiply
   10,055.28x = 13,877.95 × 5,580.47
4. Step 4: Simplify right side
   10,055.28x = 77,445,436.78
5. Step 5: Solve for x
   x = 77,445,436.78/10,055.28
6. Step 6: Final answer
   x = 7,701.97