Finding the Fourth Proportional to 2,551.69, 3,827.40 and 820.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,551.69 : 3,827.40 = 820.18 : x
2. Step 2: Convert to fraction form
   2,551.69/3,827.40 = 820.18/x
3. Step 3: Cross multiply
   2,551.69x = 3,827.40 × 820.18
4. Step 4: Simplify right side
   2,551.69x = 3,139,156.93
5. Step 5: Solve for x
   x = 3,139,156.93/2,551.69
6. Step 6: Final answer
   x = 1,230.23