Finding the Fourth Proportional to 1,298.52, 1,791.62 and 801.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.52 : 1,791.62 = 801.40 : x
2. Step 2: Convert to fraction form
   1,298.52/1,791.62 = 801.40/x
3. Step 3: Cross multiply
   1,298.52x = 1,791.62 × 801.40
4. Step 4: Simplify right side
   1,298.52x = 1,435,804.27
5. Step 5: Solve for x
   x = 1,435,804.27/1,298.52
6. Step 6: Final answer
   x = 1,105.72