Finding the Fourth Proportional to 2,109.38, 3,162.93 and 648.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.38 : 3,162.93 = 648.14 : x
2. Step 2: Convert to fraction form
   2,109.38/3,162.93 = 648.14/x
3. Step 3: Cross multiply
   2,109.38x = 3,162.93 × 648.14
4. Step 4: Simplify right side
   2,109.38x = 2,050,021.45
5. Step 5: Solve for x
   x = 2,050,021.45/2,109.38
6. Step 6: Final answer
   x = 971.86