Finding the Fourth Proportional to 2,612.10, 3,914.81 and 1,826

Step by Step Solution

1. Step 1: Write the proportion equation
   2,612.10 : 3,914.81 = 1,826 : x
2. Step 2: Convert to fraction form
   2,612.10/3,914.81 = 1,826/x
3. Step 3: Cross multiply
   2,612.10x = 3,914.81 × 1,826
4. Step 4: Simplify right side
   2,612.10x = 7,148,443.06
5. Step 5: Solve for x
   x = 7,148,443.06/2,612.10
6. Step 6: Final answer
   x = 2,736.67