Finding the Fourth Proportional to 1,114.83, 1,538.47 and 722.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.83 : 1,538.47 = 722.54 : x
2. Step 2: Convert to fraction form
   1,114.83/1,538.47 = 722.54/x
3. Step 3: Cross multiply
   1,114.83x = 1,538.47 × 722.54
4. Step 4: Simplify right side
   1,114.83x = 1,111,596.62
5. Step 5: Solve for x
   x = 1,111,596.62/1,114.83
6. Step 6: Final answer
   x = 997.10