Finding the Fourth Proportional to 2,552.47, 3,827.89 and 820.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.47 : 3,827.89 = 820.69 : x
2. Step 2: Convert to fraction form
   2,552.47/3,827.89 = 820.69/x
3. Step 3: Cross multiply
   2,552.47x = 3,827.89 × 820.69
4. Step 4: Simplify right side
   2,552.47x = 3,141,502.50
5. Step 5: Solve for x
   x = 3,141,502.50/2,552.47
6. Step 6: Final answer
   x = 1,230.77