Finding the Fourth Proportional to 1,298.72, 1,792.14 and 801.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.72 : 1,792.14 = 801.18 : x
2. Step 2: Convert to fraction form
   1,298.72/1,792.14 = 801.18/x
3. Step 3: Cross multiply
   1,298.72x = 1,792.14 × 801.18
4. Step 4: Simplify right side
   1,298.72x = 1,435,826.73
5. Step 5: Solve for x
   x = 1,435,826.73/1,298.72
6. Step 6: Final answer
   x = 1,105.57