Finding the Fourth Proportional to 1,538.44, 2,301.98 and 922.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.44 : 2,301.98 = 922.57 : x
2. Step 2: Convert to fraction form
   1,538.44/2,301.98 = 922.57/x
3. Step 3: Cross multiply
   1,538.44x = 2,301.98 × 922.57
4. Step 4: Simplify right side
   1,538.44x = 2,123,737.69
5. Step 5: Solve for x
   x = 2,123,737.69/1,538.44
6. Step 6: Final answer
   x = 1,380.45