Finding the Fourth Proportional to 1,111.80, 1,534.86 and 802.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.80 : 1,534.86 = 802.20 : x
2. Step 2: Convert to fraction form
   1,111.80/1,534.86 = 802.20/x
3. Step 3: Cross multiply
   1,111.80x = 1,534.86 × 802.20
4. Step 4: Simplify right side
   1,111.80x = 1,231,264.69
5. Step 5: Solve for x
   x = 1,231,264.69/1,111.80
6. Step 6: Final answer
   x = 1,107.45