Finding the Fourth Proportional to 1,114.34, 1,537.62 and 648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.34 : 1,537.62 = 648.50 : x
2. Step 2: Convert to fraction form
   1,114.34/1,537.62 = 648.50/x
3. Step 3: Cross multiply
   1,114.34x = 1,537.62 × 648.50
4. Step 4: Simplify right side
   1,114.34x = 997,146.57
5. Step 5: Solve for x
   x = 997,146.57/1,114.34
6. Step 6: Final answer
   x = 894.83