Finding the Fourth Proportional to 3,426.29, 5,142 and 1,782.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,426.29 : 5,142 = 1,782.69 : x
2. Step 2: Convert to fraction form
   3,426.29/5,142 = 1,782.69/x
3. Step 3: Cross multiply
   3,426.29x = 5,142 × 1,782.69
4. Step 4: Simplify right side
   3,426.29x = 9,166,591.98
5. Step 5: Solve for x
   x = 9,166,591.98/3,426.29
6. Step 6: Final answer
   x = 2,675.37