Finding the Fourth Proportional to 1,114.89, 1,538.56 and 617.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.89 : 1,538.56 = 617.54 : x
2. Step 2: Convert to fraction form
   1,114.89/1,538.56 = 617.54/x
3. Step 3: Cross multiply
   1,114.89x = 1,538.56 × 617.54
4. Step 4: Simplify right side
   1,114.89x = 950,111.56
5. Step 5: Solve for x
   x = 950,111.56/1,114.89
6. Step 6: Final answer
   x = 852.20