Finding the Fourth Proportional to 2,642.06, 3,962.25 and 2,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.06 : 3,962.25 = 2,469.50 : x
2. Step 2: Convert to fraction form
   2,642.06/3,962.25 = 2,469.50/x
3. Step 3: Cross multiply
   2,642.06x = 3,962.25 × 2,469.50
4. Step 4: Simplify right side
   2,642.06x = 9,784,776.38
5. Step 5: Solve for x
   x = 9,784,776.38/2,642.06
6. Step 6: Final answer
   x = 3,703.46