Finding the Fourth Proportional to 1,380.40, 1,905.24 and 849.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,380.40 : 1,905.24 = 849.73 : x
2. Step 2: Convert to fraction form
   1,380.40/1,905.24 = 849.73/x
3. Step 3: Cross multiply
   1,380.40x = 1,905.24 × 849.73
4. Step 4: Simplify right side
   1,380.40x = 1,618,939.59
5. Step 5: Solve for x
   x = 1,618,939.59/1,380.40
6. Step 6: Final answer
   x = 1,172.80