Finding the Fourth Proportional to 1,417.26, 1,955.74 and 827.99

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.26 : 1,955.74 = 827.99 : x
2. Step 2: Convert to fraction form
   1,417.26/1,955.74 = 827.99/x
3. Step 3: Cross multiply
   1,417.26x = 1,955.74 × 827.99
4. Step 4: Simplify right side
   1,417.26x = 1,619,333.16
5. Step 5: Solve for x
   x = 1,619,333.16/1,417.26
6. Step 6: Final answer
   x = 1,142.58