Finding the Fourth Proportional to 2,109.24, 3,146.04 and 1,782.36

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.24 : 3,146.04 = 1,782.36 : x
2. Step 2: Convert to fraction form
   2,109.24/3,146.04 = 1,782.36/x
3. Step 3: Cross multiply
   2,109.24x = 3,146.04 × 1,782.36
4. Step 4: Simplify right side
   2,109.24x = 5,607,375.85
5. Step 5: Solve for x
   x = 5,607,375.85/2,109.24
6. Step 6: Final answer
   x = 2,658.48