Finding the Fourth Proportional to 2,530.96, 3,494.16 and 1,646.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,530.96 : 3,494.16 = 1,646.32 : x
2. Step 2: Convert to fraction form
   2,530.96/3,494.16 = 1,646.32/x
3. Step 3: Cross multiply
   2,530.96x = 3,494.16 × 1,646.32
4. Step 4: Simplify right side
   2,530.96x = 5,752,505.49
5. Step 5: Solve for x
   x = 5,752,505.49/2,530.96
6. Step 6: Final answer
   x = 2,272.86