Finding the Fourth Proportional to 10,563.18, 14,577.76 and 5,847.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,563.18 : 14,577.76 = 5,847.50 : x
2. Step 2: Convert to fraction form
   10,563.18/14,577.76 = 5,847.50/x
3. Step 3: Cross multiply
   10,563.18x = 14,577.76 × 5,847.50
4. Step 4: Simplify right side
   10,563.18x = 85,243,451.60
5. Step 5: Solve for x
   x = 85,243,451.60/10,563.18
6. Step 6: Final answer
   x = 8,069.87