Finding the Fourth Proportional to 10,563.57, 14,578.16 and 5,847.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,563.57 : 14,578.16 = 5,847.89 : x
2. Step 2: Convert to fraction form
   10,563.57/14,578.16 = 5,847.89/x
3. Step 3: Cross multiply
   10,563.57x = 14,578.16 × 5,847.89
4. Step 4: Simplify right side
   10,563.57x = 85,251,373.95
5. Step 5: Solve for x
   x = 85,251,373.95/10,563.57
6. Step 6: Final answer
   x = 8,070.32