Finding the Fourth Proportional to 2,552.53, 3,827.98 and 820.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.53 : 3,827.98 = 820.75 : x
2. Step 2: Convert to fraction form
   2,552.53/3,827.98 = 820.75/x
3. Step 3: Cross multiply
   2,552.53x = 3,827.98 × 820.75
4. Step 4: Simplify right side
   2,552.53x = 3,141,814.59
5. Step 5: Solve for x
   x = 3,141,814.59/2,552.53
6. Step 6: Final answer
   x = 1,230.86