Finding the Fourth Proportional to 10,057.95, 13,878.85 and 5,580.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,057.95 : 13,878.85 = 5,580.58 : x
2. Step 2: Convert to fraction form
   10,057.95/13,878.85 = 5,580.58/x
3. Step 3: Cross multiply
   10,057.95x = 13,878.85 × 5,580.58
4. Step 4: Simplify right side
   10,057.95x = 77,452,032.73
5. Step 5: Solve for x
   x = 77,452,032.73/10,057.95
6. Step 6: Final answer
   x = 7,700.58