Finding the Fourth Proportional to 1,165.35, 1,749.17 and 610.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,165.35 : 1,749.17 = 610.61 : x
2. Step 2: Convert to fraction form
   1,165.35/1,749.17 = 610.61/x
3. Step 3: Cross multiply
   1,165.35x = 1,749.17 × 610.61
4. Step 4: Simplify right side
   1,165.35x = 1,068,048.89
5. Step 5: Solve for x
   x = 1,068,048.89/1,165.35
6. Step 6: Final answer
   x = 916.50