Finding the Fourth Proportional to 10,056.72, 13,877.91 and 5,580.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,056.72 : 13,877.91 = 5,580.30 : x
2. Step 2: Convert to fraction form
   10,056.72/13,877.91 = 5,580.30/x
3. Step 3: Cross multiply
   10,056.72x = 13,877.91 × 5,580.30
4. Step 4: Simplify right side
   10,056.72x = 77,442,901.17
5. Step 5: Solve for x
   x = 77,442,901.17/10,056.72
6. Step 6: Final answer
   x = 7,700.61