Finding the Fourth Proportional to 1,397.52, 1,928.50 and 838.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,397.52 : 1,928.50 = 838.24 : x
2. Step 2: Convert to fraction form
   1,397.52/1,928.50 = 838.24/x
3. Step 3: Cross multiply
   1,397.52x = 1,928.50 × 838.24
4. Step 4: Simplify right side
   1,397.52x = 1,616,545.84
5. Step 5: Solve for x
   x = 1,616,545.84/1,397.52
6. Step 6: Final answer
   x = 1,156.72