Finding the Fourth Proportional to 3,646.82, 5,032.52 and 2,074.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,646.82 : 5,032.52 = 2,074.82 : x
2. Step 2: Convert to fraction form
   3,646.82/5,032.52 = 2,074.82/x
3. Step 3: Cross multiply
   3,646.82x = 5,032.52 × 2,074.82
4. Step 4: Simplify right side
   3,646.82x = 10,441,573.15
5. Step 5: Solve for x
   x = 10,441,573.15/3,646.82
6. Step 6: Final answer
   x = 2,863.20