Finding the Fourth Proportional to 1,416.24, 1,954.35 and 826.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,416.24 : 1,954.35 = 826.83 : x
2. Step 2: Convert to fraction form
   1,416.24/1,954.35 = 826.83/x
3. Step 3: Cross multiply
   1,416.24x = 1,954.35 × 826.83
4. Step 4: Simplify right side
   1,416.24x = 1,615,915.21
5. Step 5: Solve for x
   x = 1,615,915.21/1,416.24
6. Step 6: Final answer
   x = 1,140.99