Finding the Fourth Proportional to 2,089.32, 2,880.18 and 1,646.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.32 : 2,880.18 = 1,646.34 : x
2. Step 2: Convert to fraction form
   2,089.32/2,880.18 = 1,646.34/x
3. Step 3: Cross multiply
   2,089.32x = 2,880.18 × 1,646.34
4. Step 4: Simplify right side
   2,089.32x = 4,741,755.54
5. Step 5: Solve for x
   x = 4,741,755.54/2,089.32
6. Step 6: Final answer
   x = 2,269.52