Finding the Fourth Proportional to 3,646.32, 5,032.56 and 2,074.10

Step by Step Solution

1. Step 1: Write the proportion equation
   3,646.32 : 5,032.56 = 2,074.10 : x
2. Step 2: Convert to fraction form
   3,646.32/5,032.56 = 2,074.10/x
3. Step 3: Cross multiply
   3,646.32x = 5,032.56 × 2,074.10
4. Step 4: Simplify right side
   3,646.32x = 10,438,032.70
5. Step 5: Solve for x
   x = 10,438,032.70/3,646.32
6. Step 6: Final answer
   x = 2,862.62