Finding the Fourth Proportional to 10,057.08, 13,878.36 and 5,581.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,057.08 : 13,878.36 = 5,581.02 : x
2. Step 2: Convert to fraction form
   10,057.08/13,878.36 = 5,581.02/x
3. Step 3: Cross multiply
   10,057.08x = 13,878.36 × 5,581.02
4. Step 4: Simplify right side
   10,057.08x = 77,455,404.73
5. Step 5: Solve for x
   x = 77,455,404.73/10,057.08
6. Step 6: Final answer
   x = 7,701.58