Finding the Fourth Proportional to 1,200.88, 1,802.49 and 768.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.88 : 1,802.49 = 768.34 : x
2. Step 2: Convert to fraction form
   1,200.88/1,802.49 = 768.34/x
3. Step 3: Cross multiply
   1,200.88x = 1,802.49 × 768.34
4. Step 4: Simplify right side
   1,200.88x = 1,384,925.17
5. Step 5: Solve for x
   x = 1,384,925.17/1,200.88
6. Step 6: Final answer
   x = 1,153.26