Finding the Fourth Proportional to 2,773.34, 3,827.85 and 1,829.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,773.34 : 3,827.85 = 1,829.30 : x
2. Step 2: Convert to fraction form
   2,773.34/3,827.85 = 1,829.30/x
3. Step 3: Cross multiply
   2,773.34x = 3,827.85 × 1,829.30
4. Step 4: Simplify right side
   2,773.34x = 7,002,260.01
5. Step 5: Solve for x
   x = 7,002,260.01/2,773.34
6. Step 6: Final answer
   x = 2,524.85