Finding the Fourth Proportional to 10,057.50, 13,879.59 and 5,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,057.50 : 13,879.59 = 5,641.50 : x
2. Step 2: Convert to fraction form
   10,057.50/13,879.59 = 5,641.50/x
3. Step 3: Cross multiply
   10,057.50x = 13,879.59 × 5,641.50
4. Step 4: Simplify right side
   10,057.50x = 78,301,706.99
5. Step 5: Solve for x
   x = 78,301,706.99/10,057.50
6. Step 6: Final answer
   x = 7,785.40