Finding the Fourth Proportional to 1,499.96, 2,069.86 and 827.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,499.96 : 2,069.86 = 827.75 : x
2. Step 2: Convert to fraction form
   1,499.96/2,069.86 = 827.75/x
3. Step 3: Cross multiply
   1,499.96x = 2,069.86 × 827.75
4. Step 4: Simplify right side
   1,499.96x = 1,713,326.62
5. Step 5: Solve for x
   x = 1,713,326.62/1,499.96
6. Step 6: Final answer
   x = 1,142.25