Finding the Fourth Proportional to 1,298.09, 1,791.30 and 800.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.09 : 1,791.30 = 800.77 : x
2. Step 2: Convert to fraction form
   1,298.09/1,791.30 = 800.77/x
3. Step 3: Cross multiply
   1,298.09x = 1,791.30 × 800.77
4. Step 4: Simplify right side
   1,298.09x = 1,434,419.30
5. Step 5: Solve for x
   x = 1,434,419.30/1,298.09
6. Step 6: Final answer
   x = 1,105.02