Finding the Fourth Proportional to 5,665.50, 8,498.73 and 1,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,665.50 : 8,498.73 = 1,561.50 : x
2. Step 2: Convert to fraction form
   5,665.50/8,498.73 = 1,561.50/x
3. Step 3: Cross multiply
   5,665.50x = 8,498.73 × 1,561.50
4. Step 4: Simplify right side
   5,665.50x = 13,270,766.90
5. Step 5: Solve for x
   x = 13,270,766.90/5,665.50
6. Step 6: Final answer
   x = 2,342.38