Finding the Fourth Proportional to 1,913.24, 2,870.98 and 802.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,913.24 : 2,870.98 = 802.56 : x
2. Step 2: Convert to fraction form
   1,913.24/2,870.98 = 802.56/x
3. Step 3: Cross multiply
   1,913.24x = 2,870.98 × 802.56
4. Step 4: Simplify right side
   1,913.24x = 2,304,126.32
5. Step 5: Solve for x
   x = 2,304,126.32/1,913.24
6. Step 6: Final answer
   x = 1,204.31