Finding the Fourth Proportional to 1,298.17, 1,791.52 and 800.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.17 : 1,791.52 = 800.80 : x
2. Step 2: Convert to fraction form
   1,298.17/1,791.52 = 800.80/x
3. Step 3: Cross multiply
   1,298.17x = 1,791.52 × 800.80
4. Step 4: Simplify right side
   1,298.17x = 1,434,642.74
5. Step 5: Solve for x
   x = 1,434,642.74/1,298.17
6. Step 6: Final answer
   x = 1,105.13