Finding the Fourth Proportional to 14,591.82, 21,888.15 and 5,706.78

Step by Step Solution

1. Step 1: Write the proportion equation
   14,591.82 : 21,888.15 = 5,706.78 : x
2. Step 2: Convert to fraction form
   14,591.82/21,888.15 = 5,706.78/x
3. Step 3: Cross multiply
   14,591.82x = 21,888.15 × 5,706.78
4. Step 4: Simplify right side
   14,591.82x = 124,910,856.66
5. Step 5: Solve for x
   x = 124,910,856.66/14,591.82
6. Step 6: Final answer
   x = 8,560.33