Finding the Fourth Proportional to 1,274.14, 1,757.46 and 832.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,274.14 : 1,757.46 = 832.15 : x
2. Step 2: Convert to fraction form
   1,274.14/1,757.46 = 832.15/x
3. Step 3: Cross multiply
   1,274.14x = 1,757.46 × 832.15
4. Step 4: Simplify right side
   1,274.14x = 1,462,470.34
5. Step 5: Solve for x
   x = 1,462,470.34/1,274.14
6. Step 6: Final answer
   x = 1,147.81