Finding the Fourth Proportional to 3,646.56, 5,032.16 and 2,074.96

Step by Step Solution

1. Step 1: Write the proportion equation
   3,646.56 : 5,032.16 = 2,074.96 : x
2. Step 2: Convert to fraction form
   3,646.56/5,032.16 = 2,074.96/x
3. Step 3: Cross multiply
   3,646.56x = 5,032.16 × 2,074.96
4. Step 4: Simplify right side
   3,646.56x = 10,441,530.71
5. Step 5: Solve for x
   x = 10,441,530.71/3,646.56
6. Step 6: Final answer
   x = 2,863.39