Finding the Fourth Proportional to 10,056.63, 13,877.48 and 5,580.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,056.63 : 13,877.48 = 5,580.10 : x
2. Step 2: Convert to fraction form
   10,056.63/13,877.48 = 5,580.10/x
3. Step 3: Cross multiply
   10,056.63x = 13,877.48 × 5,580.10
4. Step 4: Simplify right side
   10,056.63x = 77,437,705.40
5. Step 5: Solve for x
   x = 77,437,705.40/10,056.63
6. Step 6: Final answer
   x = 7,700.16