Finding the Fourth Proportional to 1,380.42, 1,905.32 and 849.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,380.42 : 1,905.32 = 849.65 : x
2. Step 2: Convert to fraction form
   1,380.42/1,905.32 = 849.65/x
3. Step 3: Cross multiply
   1,380.42x = 1,905.32 × 849.65
4. Step 4: Simplify right side
   1,380.42x = 1,618,841.36
5. Step 5: Solve for x
   x = 1,618,841.36/1,380.42
6. Step 6: Final answer
   x = 1,172.72