Finding the Fourth Proportional to 1,055.30, 1,456.25 and 802.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.30 : 1,456.25 = 802.85 : x
2. Step 2: Convert to fraction form
   1,055.30/1,456.25 = 802.85/x
3. Step 3: Cross multiply
   1,055.30x = 1,456.25 × 802.85
4. Step 4: Simplify right side
   1,055.30x = 1,169,139.02
5. Step 5: Solve for x
   x = 1,169,139.02/1,055.30
6. Step 6: Final answer
   x = 1,107.88