Finding the Fourth Proportional to 1,059.77, 1,462.40 and 617.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.77 : 1,462.40 = 617.61 : x
2. Step 2: Convert to fraction form
   1,059.77/1,462.40 = 617.61/x
3. Step 3: Cross multiply
   1,059.77x = 1,462.40 × 617.61
4. Step 4: Simplify right side
   1,059.77x = 903,189.78
5. Step 5: Solve for x
   x = 903,189.78/1,059.77
6. Step 6: Final answer
   x = 852.25