Finding the Fourth Proportional to 1,416.89, 1,955.42 and 827.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,416.89 : 1,955.42 = 827.30 : x
2. Step 2: Convert to fraction form
   1,416.89/1,955.42 = 827.30/x
3. Step 3: Cross multiply
   1,416.89x = 1,955.42 × 827.30
4. Step 4: Simplify right side
   1,416.89x = 1,617,705.05
5. Step 5: Solve for x
   x = 1,617,705.05/1,416.89
6. Step 6: Final answer
   x = 1,141.73