Finding the Fourth Proportional to 2,051.88, 3,077.67 and 802.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,051.88 : 3,077.67 = 802.24 : x
2. Step 2: Convert to fraction form
   2,051.88/3,077.67 = 802.24/x
3. Step 3: Cross multiply
   2,051.88x = 3,077.67 × 802.24
4. Step 4: Simplify right side
   2,051.88x = 2,469,042.61
5. Step 5: Solve for x
   x = 2,469,042.61/2,051.88
6. Step 6: Final answer
   x = 1,203.31