Finding the Fourth Proportional to 1,077.46, 1,617.57 and 558.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077.46 : 1,617.57 = 558.52 : x
2. Step 2: Convert to fraction form
   1,077.46/1,617.57 = 558.52/x
3. Step 3: Cross multiply
   1,077.46x = 1,617.57 × 558.52
4. Step 4: Simplify right side
   1,077.46x = 903,441.15
5. Step 5: Solve for x
   x = 903,441.15/1,077.46
6. Step 6: Final answer
   x = 838.49