Finding the Fourth Proportional to 1,114.62, 1,538.31 and 648.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.62 : 1,538.31 = 648.78 : x
2. Step 2: Convert to fraction form
   1,114.62/1,538.31 = 648.78/x
3. Step 3: Cross multiply
   1,114.62x = 1,538.31 × 648.78
4. Step 4: Simplify right side
   1,114.62x = 998,024.76
5. Step 5: Solve for x
   x = 998,024.76/1,114.62
6. Step 6: Final answer
   x = 895.39