Finding the Fourth Proportional to 1,097.96, 1,514.56 and 802.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.96 : 1,514.56 = 802.88 : x
2. Step 2: Convert to fraction form
   1,097.96/1,514.56 = 802.88/x
3. Step 3: Cross multiply
   1,097.96x = 1,514.56 × 802.88
4. Step 4: Simplify right side
   1,097.96x = 1,216,009.93
5. Step 5: Solve for x
   x = 1,216,009.93/1,097.96
6. Step 6: Final answer
   x = 1,107.52