Finding the Fourth Proportional to 1,397.53, 1,928.50 and 838.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,397.53 : 1,928.50 = 838.05 : x
2. Step 2: Convert to fraction form
   1,397.53/1,928.50 = 838.05/x
3. Step 3: Cross multiply
   1,397.53x = 1,928.50 × 838.05
4. Step 4: Simplify right side
   1,397.53x = 1,616,179.43
5. Step 5: Solve for x
   x = 1,616,179.43/1,397.53
6. Step 6: Final answer
   x = 1,156.45