Finding the Fourth Proportional to 2,642.10, 3,653.06 and 2,314.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.10 : 3,653.06 = 2,314.05 : x
2. Step 2: Convert to fraction form
   2,642.10/3,653.06 = 2,314.05/x
3. Step 3: Cross multiply
   2,642.10x = 3,653.06 × 2,314.05
4. Step 4: Simplify right side
   2,642.10x = 8,453,351.92
5. Step 5: Solve for x
   x = 8,453,351.92/2,642.10
6. Step 6: Final answer
   x = 3,199.48