Finding the Fourth Proportional to 10,562.50, 14,577.27 and 5,846.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,562.50 : 14,577.27 = 5,846.78 : x
2. Step 2: Convert to fraction form
   10,562.50/14,577.27 = 5,846.78/x
3. Step 3: Cross multiply
   10,562.50x = 14,577.27 × 5,846.78
4. Step 4: Simplify right side
   10,562.50x = 85,230,105.21
5. Step 5: Solve for x
   x = 85,230,105.21/10,562.50
6. Step 6: Final answer
   x = 8,069.12