Finding the Fourth Proportional to 1,300.38, 1,794.09 and 802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.38 : 1,794.09 = 802.50 : x
2. Step 2: Convert to fraction form
   1,300.38/1,794.09 = 802.50/x
3. Step 3: Cross multiply
   1,300.38x = 1,794.09 × 802.50
4. Step 4: Simplify right side
   1,300.38x = 1,439,757.23
5. Step 5: Solve for x
   x = 1,439,757.23/1,300.38
6. Step 6: Final answer
   x = 1,107.18