Finding the Fourth Proportional to 1,114.47, 1,538.96 and 722.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.47 : 1,538.96 = 722.43 : x
2. Step 2: Convert to fraction form
   1,114.47/1,538.96 = 722.43/x
3. Step 3: Cross multiply
   1,114.47x = 1,538.96 × 722.43
4. Step 4: Simplify right side
   1,114.47x = 1,111,787.26
5. Step 5: Solve for x
   x = 1,111,787.26/1,114.47
6. Step 6: Final answer
   x = 997.59