Finding the Fourth Proportional to 3,646.16, 5,032.20 and 2,074.96

Step by Step Solution

1. Step 1: Write the proportion equation
   3,646.16 : 5,032.20 = 2,074.96 : x
2. Step 2: Convert to fraction form
   3,646.16/5,032.20 = 2,074.96/x
3. Step 3: Cross multiply
   3,646.16x = 5,032.20 × 2,074.96
4. Step 4: Simplify right side
   3,646.16x = 10,441,613.71
5. Step 5: Solve for x
   x = 10,441,613.71/3,646.16
6. Step 6: Final answer
   x = 2,863.73