Finding the Fourth Proportional to 1,416.74, 1,955.52 and 827.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,416.74 : 1,955.52 = 827.54 : x
2. Step 2: Convert to fraction form
   1,416.74/1,955.52 = 827.54/x
3. Step 3: Cross multiply
   1,416.74x = 1,955.52 × 827.54
4. Step 4: Simplify right side
   1,416.74x = 1,618,271.02
5. Step 5: Solve for x
   x = 1,618,271.02/1,416.74
6. Step 6: Final answer
   x = 1,142.25