Finding the Fourth Proportional to 2,774.96, 3,830.04 and 1,829.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,774.96 : 3,830.04 = 1,829.15 : x
2. Step 2: Convert to fraction form
   2,774.96/3,830.04 = 1,829.15/x
3. Step 3: Cross multiply
   2,774.96x = 3,830.04 × 1,829.15
4. Step 4: Simplify right side
   2,774.96x = 7,005,698.52
5. Step 5: Solve for x
   x = 7,005,698.52/2,774.96
6. Step 6: Final answer
   x = 2,524.62