Finding the Fourth Proportional to 1,165.55, 1,748.57 and 617.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,165.55 : 1,748.57 = 617.59 : x
2. Step 2: Convert to fraction form
   1,165.55/1,748.57 = 617.59/x
3. Step 3: Cross multiply
   1,165.55x = 1,748.57 × 617.59
4. Step 4: Simplify right side
   1,165.55x = 1,079,896.52
5. Step 5: Solve for x
   x = 1,079,896.52/1,165.55
6. Step 6: Final answer
   x = 926.51