Finding the Fourth Proportional to 3,646.42, 5,031.52 and 2,052.84

Step by Step Solution

1. Step 1: Write the proportion equation
   3,646.42 : 5,031.52 = 2,052.84 : x
2. Step 2: Convert to fraction form
   3,646.42/5,031.52 = 2,052.84/x
3. Step 3: Cross multiply
   3,646.42x = 5,031.52 × 2,052.84
4. Step 4: Simplify right side
   3,646.42x = 10,328,870.10
5. Step 5: Solve for x
   x = 10,328,870.10/3,646.42
6. Step 6: Final answer
   x = 2,832.61