Finding the Fourth Proportional to 2,532.15, 3,494.96 and 1,646.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,532.15 : 3,494.96 = 1,646.42 : x
2. Step 2: Convert to fraction form
   2,532.15/3,494.96 = 1,646.42/x
3. Step 3: Cross multiply
   2,532.15x = 3,494.96 × 1,646.42
4. Step 4: Simplify right side
   2,532.15x = 5,754,146.34
5. Step 5: Solve for x
   x = 5,754,146.34/2,532.15
6. Step 6: Final answer
   x = 2,272.44