Finding the Fourth Proportional to 1,461.92, 2,017.37 and 798.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.92 : 2,017.37 = 798.77 : x
2. Step 2: Convert to fraction form
   1,461.92/2,017.37 = 798.77/x
3. Step 3: Cross multiply
   1,461.92x = 2,017.37 × 798.77
4. Step 4: Simplify right side
   1,461.92x = 1,611,404.55
5. Step 5: Solve for x
   x = 1,611,404.55/1,461.92
6. Step 6: Final answer
   x = 1,102.25