Finding the Fourth Proportional to 1,380.52, 1,905.42 and 849.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,380.52 : 1,905.42 = 849.86 : x
2. Step 2: Convert to fraction form
   1,380.52/1,905.42 = 849.86/x
3. Step 3: Cross multiply
   1,380.52x = 1,905.42 × 849.86
4. Step 4: Simplify right side
   1,380.52x = 1,619,340.24
5. Step 5: Solve for x
   x = 1,619,340.24/1,380.52
6. Step 6: Final answer
   x = 1,172.99