Finding the Fourth Proportional to 1,416.88, 1,955.61 and 827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,416.88 : 1,955.61 = 827.50 : x
2. Step 2: Convert to fraction form
   1,416.88/1,955.61 = 827.50/x
3. Step 3: Cross multiply
   1,416.88x = 1,955.61 × 827.50
4. Step 4: Simplify right side
   1,416.88x = 1,618,267.28
5. Step 5: Solve for x
   x = 1,618,267.28/1,416.88
6. Step 6: Final answer
   x = 1,142.13