Finding the Fourth Proportional to 2,551.50, 3,827.86 and 820.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,551.50 : 3,827.86 = 820.13 : x
2. Step 2: Convert to fraction form
   2,551.50/3,827.86 = 820.13/x
3. Step 3: Cross multiply
   2,551.50x = 3,827.86 × 820.13
4. Step 4: Simplify right side
   2,551.50x = 3,139,321.63
5. Step 5: Solve for x
   x = 3,139,321.63/2,551.50
6. Step 6: Final answer
   x = 1,230.38