Finding the Fourth Proportional to 1,362.57, 1,880.12 and 802.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,362.57 : 1,880.12 = 802.96 : x
2. Step 2: Convert to fraction form
   1,362.57/1,880.12 = 802.96/x
3. Step 3: Cross multiply
   1,362.57x = 1,880.12 × 802.96
4. Step 4: Simplify right side
   1,362.57x = 1,509,671.13
5. Step 5: Solve for x
   x = 1,509,671.13/1,362.57
6. Step 6: Final answer
   x = 1,107.96