Finding the Fourth Proportional to 2,629.38, 3,633.15 and 2,102.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,629.38 : 3,633.15 = 2,102.61 : x
2. Step 2: Convert to fraction form
   2,629.38/3,633.15 = 2,102.61/x
3. Step 3: Cross multiply
   2,629.38x = 3,633.15 × 2,102.61
4. Step 4: Simplify right side
   2,629.38x = 7,639,097.52
5. Step 5: Solve for x
   x = 7,639,097.52/2,629.38
6. Step 6: Final answer
   x = 2,905.28