Finding the Fourth Proportional to 1,784.35, 2,689.90 and 1,665.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,784.35 : 2,689.90 = 1,665.42 : x
2. Step 2: Convert to fraction form
   1,784.35/2,689.90 = 1,665.42/x
3. Step 3: Cross multiply
   1,784.35x = 2,689.90 × 1,665.42
4. Step 4: Simplify right side
   1,784.35x = 4,479,813.26
5. Step 5: Solve for x
   x = 4,479,813.26/1,784.35
6. Step 6: Final answer
   x = 2,510.61