Finding the Fourth Proportional to 3,646.16, 5,031.59 and 2,052.89

Step by Step Solution

1. Step 1: Write the proportion equation
   3,646.16 : 5,031.59 = 2,052.89 : x
2. Step 2: Convert to fraction form
   3,646.16/5,031.59 = 2,052.89/x
3. Step 3: Cross multiply
   3,646.16x = 5,031.59 × 2,052.89
4. Step 4: Simplify right side
   3,646.16x = 10,329,265.37
5. Step 5: Solve for x
   x = 10,329,265.37/3,646.16
6. Step 6: Final answer
   x = 2,832.92