Finding the Fourth Proportional to 2,824.76, 3,896.86 and 1,830.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,824.76 : 3,896.86 = 1,830.38 : x
2. Step 2: Convert to fraction form
   2,824.76/3,896.86 = 1,830.38/x
3. Step 3: Cross multiply
   2,824.76x = 3,896.86 × 1,830.38
4. Step 4: Simplify right side
   2,824.76x = 7,132,734.61
5. Step 5: Solve for x
   x = 7,132,734.61/2,824.76
6. Step 6: Final answer
   x = 2,525.08