Finding the Fourth Proportional to 3,646.64, 5,032.42 and 2,074.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,646.64 : 5,032.42 = 2,074.88 : x
2. Step 2: Convert to fraction form
   3,646.64/5,032.42 = 2,074.88/x
3. Step 3: Cross multiply
   3,646.64x = 5,032.42 × 2,074.88
4. Step 4: Simplify right side
   3,646.64x = 10,441,667.61
5. Step 5: Solve for x
   x = 10,441,667.61/3,646.64
6. Step 6: Final answer
   x = 2,863.37