Finding the Fourth Proportional to 2,109.05, 3,164.18 and 648.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.05 : 3,164.18 = 648.42 : x
2. Step 2: Convert to fraction form
   2,109.05/3,164.18 = 648.42/x
3. Step 3: Cross multiply
   2,109.05x = 3,164.18 × 648.42
4. Step 4: Simplify right side
   2,109.05x = 2,051,717.60
5. Step 5: Solve for x
   x = 2,051,717.60/2,109.05
6. Step 6: Final answer
   x = 972.82