Finding the Fourth Proportional to 1,200.80, 1,655.82 and 807.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.80 : 1,655.82 = 807.14 : x
2. Step 2: Convert to fraction form
   1,200.80/1,655.82 = 807.14/x
3. Step 3: Cross multiply
   1,200.80x = 1,655.82 × 807.14
4. Step 4: Simplify right side
   1,200.80x = 1,336,470.28
5. Step 5: Solve for x
   x = 1,336,470.28/1,200.80
6. Step 6: Final answer
   x = 1,112.99