Finding the Fourth Proportional to 10,057.19, 13,878.71 and 5,580.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,057.19 : 13,878.71 = 5,580.90 : x
2. Step 2: Convert to fraction form
   10,057.19/13,878.71 = 5,580.90/x
3. Step 3: Cross multiply
   10,057.19x = 13,878.71 × 5,580.90
4. Step 4: Simplify right side
   10,057.19x = 77,455,664.73
5. Step 5: Solve for x
   x = 77,455,664.73/10,057.19
6. Step 6: Final answer
   x = 7,701.53