Finding the Fourth Proportional to 1,400.17, 1,932.27 and 802.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,400.17 : 1,932.27 = 802.78 : x
2. Step 2: Convert to fraction form
   1,400.17/1,932.27 = 802.78/x
3. Step 3: Cross multiply
   1,400.17x = 1,932.27 × 802.78
4. Step 4: Simplify right side
   1,400.17x = 1,551,187.71
5. Step 5: Solve for x
   x = 1,551,187.71/1,400.17
6. Step 6: Final answer
   x = 1,107.86