Finding the Fourth Proportional to 1,362.42, 1,878.80 and 838.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,362.42 : 1,878.80 = 838.35 : x
2. Step 2: Convert to fraction form
   1,362.42/1,878.80 = 838.35/x
3. Step 3: Cross multiply
   1,362.42x = 1,878.80 × 838.35
4. Step 4: Simplify right side
   1,362.42x = 1,575,087.79
5. Step 5: Solve for x
   x = 1,575,087.79/1,362.42
6. Step 6: Final answer
   x = 1,156.10