Finding the Fourth Proportional to 10,056.29, 13,877.69 and 5,580.03

Step by Step Solution

1. Step 1: Write the proportion equation
   10,056.29 : 13,877.69 = 5,580.03 : x
2. Step 2: Convert to fraction form
   10,056.29/13,877.69 = 5,580.03/x
3. Step 3: Cross multiply
   10,056.29x = 13,877.69 × 5,580.03
4. Step 4: Simplify right side
   10,056.29x = 77,437,926.53
5. Step 5: Solve for x
   x = 77,437,926.53/10,056.29
6. Step 6: Final answer
   x = 7,700.45