Finding the Fourth Proportional to 5,461.89, 8,192.82 and 1,566.27

Step by Step Solution

1. Step 1: Write the proportion equation
   5,461.89 : 8,192.82 = 1,566.27 : x
2. Step 2: Convert to fraction form
   5,461.89/8,192.82 = 1,566.27/x
3. Step 3: Cross multiply
   5,461.89x = 8,192.82 × 1,566.27
4. Step 4: Simplify right side
   5,461.89x = 12,832,168.18
5. Step 5: Solve for x
   x = 12,832,168.18/5,461.89
6. Step 6: Final answer
   x = 2,349.40