Finding the Fourth Proportional to 1,131.96, 1,563.56 and 802

Step by Step Solution

1. Step 1: Write the proportion equation
   1,131.96 : 1,563.56 = 802 : x
2. Step 2: Convert to fraction form
   1,131.96/1,563.56 = 802/x
3. Step 3: Cross multiply
   1,131.96x = 1,563.56 × 802
4. Step 4: Simplify right side
   1,131.96x = 1,253,975.12
5. Step 5: Solve for x
   x = 1,253,975.12/1,131.96
6. Step 6: Final answer
   x = 1,107.79