Finding the Fourth Proportional to 1,114.38, 1,537.83 and 648.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.38 : 1,537.83 = 648.72 : x
2. Step 2: Convert to fraction form
   1,114.38/1,537.83 = 648.72/x
3. Step 3: Cross multiply
   1,114.38x = 1,537.83 × 648.72
4. Step 4: Simplify right side
   1,114.38x = 997,621.08
5. Step 5: Solve for x
   x = 997,621.08/1,114.38
6. Step 6: Final answer
   x = 895.23