Finding the Fourth Proportional to 1,416.96, 1,955.25 and 827.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,416.96 : 1,955.25 = 827.46 : x
2. Step 2: Convert to fraction form
   1,416.96/1,955.25 = 827.46/x
3. Step 3: Cross multiply
   1,416.96x = 1,955.25 × 827.46
4. Step 4: Simplify right side
   1,416.96x = 1,617,891.17
5. Step 5: Solve for x
   x = 1,617,891.17/1,416.96
6. Step 6: Final answer
   x = 1,141.80