Finding the Fourth Proportional to 2,906.10, 4,010.37 and 1,786.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,906.10 : 4,010.37 = 1,786.62 : x
2. Step 2: Convert to fraction form
   2,906.10/4,010.37 = 1,786.62/x
3. Step 3: Cross multiply
   2,906.10x = 4,010.37 × 1,786.62
4. Step 4: Simplify right side
   2,906.10x = 7,165,007.25
5. Step 5: Solve for x
   x = 7,165,007.25/2,906.10
6. Step 6: Final answer
   x = 2,465.51