Finding the Fourth Proportional to 1,265.72, 1,900.20 and 802.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,265.72 : 1,900.20 = 802.04 : x
2. Step 2: Convert to fraction form
   1,265.72/1,900.20 = 802.04/x
3. Step 3: Cross multiply
   1,265.72x = 1,900.20 × 802.04
4. Step 4: Simplify right side
   1,265.72x = 1,524,036.41
5. Step 5: Solve for x
   x = 1,524,036.41/1,265.72
6. Step 6: Final answer
   x = 1,204.09