Finding the Fourth Proportional to 10,056.24, 13,878.12 and 5,579.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,056.24 : 13,878.12 = 5,579.88 : x
2. Step 2: Convert to fraction form
   10,056.24/13,878.12 = 5,579.88/x
3. Step 3: Cross multiply
   10,056.24x = 13,878.12 × 5,579.88
4. Step 4: Simplify right side
   10,056.24x = 77,438,244.23
5. Step 5: Solve for x
   x = 77,438,244.23/10,056.24
6. Step 6: Final answer
   x = 7,700.52