Finding the Fourth Proportional to 10,056.37, 13,877.57 and 5,580.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,056.37 : 13,877.57 = 5,580.02 : x
2. Step 2: Convert to fraction form
   10,056.37/13,877.57 = 5,580.02/x
3. Step 3: Cross multiply
   10,056.37x = 13,877.57 × 5,580.02
4. Step 4: Simplify right side
   10,056.37x = 77,437,118.15
5. Step 5: Solve for x
   x = 77,437,118.15/10,056.37
6. Step 6: Final answer
   x = 7,700.31