Finding the Fourth Proportional to 10,056.62, 13,877.83 and 5,580.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,056.62 : 13,877.83 = 5,580.47 : x
2. Step 2: Convert to fraction form
   10,056.62/13,877.83 = 5,580.47/x
3. Step 3: Cross multiply
   10,056.62x = 13,877.83 × 5,580.47
4. Step 4: Simplify right side
   10,056.62x = 77,444,813.98
5. Step 5: Solve for x
   x = 77,444,813.98/10,056.62
6. Step 6: Final answer
   x = 7,700.88