Finding the Fourth Proportional to 10,562.27, 14,576.76 and 5,847.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,562.27 : 14,576.76 = 5,847.26 : x
2. Step 2: Convert to fraction form
   10,562.27/14,576.76 = 5,847.26/x
3. Step 3: Cross multiply
   10,562.27x = 14,576.76 × 5,847.26
4. Step 4: Simplify right side
   10,562.27x = 85,234,032.79
5. Step 5: Solve for x
   x = 85,234,032.79/10,562.27
6. Step 6: Final answer
   x = 8,069.67