Finding the Fourth Proportional to 2,641.40, 3,646.59 and 1,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.40 : 3,646.59 = 1,758.50 : x
2. Step 2: Convert to fraction form
   2,641.40/3,646.59 = 1,758.50/x
3. Step 3: Cross multiply
   2,641.40x = 3,646.59 × 1,758.50
4. Step 4: Simplify right side
   2,641.40x = 6,412,528.52
5. Step 5: Solve for x
   x = 6,412,528.52/2,641.40
6. Step 6: Final answer
   x = 2,427.70