Finding the Fourth Proportional to 1,342.38, 1,852.54 and 838.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,342.38 : 1,852.54 = 838.53 : x
2. Step 2: Convert to fraction form
   1,342.38/1,852.54 = 838.53/x
3. Step 3: Cross multiply
   1,342.38x = 1,852.54 × 838.53
4. Step 4: Simplify right side
   1,342.38x = 1,553,396.91
5. Step 5: Solve for x
   x = 1,553,396.91/1,342.38
6. Step 6: Final answer
   x = 1,157.20