Finding the Fourth Proportional to 1,274.36, 1,759.59 and 832.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,274.36 : 1,759.59 = 832.10 : x
2. Step 2: Convert to fraction form
   1,274.36/1,759.59 = 832.10/x
3. Step 3: Cross multiply
   1,274.36x = 1,759.59 × 832.10
4. Step 4: Simplify right side
   1,274.36x = 1,464,146.04
5. Step 5: Solve for x
   x = 1,464,146.04/1,274.36
6. Step 6: Final answer
   x = 1,148.93