Finding the Fourth Proportional to 10,087.50, 13,921.86 and 5,781

Step by Step Solution

1. Step 1: Write the proportion equation
   10,087.50 : 13,921.86 = 5,781 : x
2. Step 2: Convert to fraction form
   10,087.50/13,921.86 = 5,781/x
3. Step 3: Cross multiply
   10,087.50x = 13,921.86 × 5,781
4. Step 4: Simplify right side
   10,087.50x = 80,482,272.66
5. Step 5: Solve for x
   x = 80,482,272.66/10,087.50
6. Step 6: Final answer
   x = 7,978.42