Finding the Fourth Proportional to 1,432.12, 1,975.86 and 802.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,432.12 : 1,975.86 = 802.55 : x
2. Step 2: Convert to fraction form
   1,432.12/1,975.86 = 802.55/x
3. Step 3: Cross multiply
   1,432.12x = 1,975.86 × 802.55
4. Step 4: Simplify right side
   1,432.12x = 1,585,726.44
5. Step 5: Solve for x
   x = 1,585,726.44/1,432.12
6. Step 6: Final answer
   x = 1,107.26