Finding the Fourth Proportional to 2,109.23, 3,164.43 and 648.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.23 : 3,164.43 = 648.41 : x
2. Step 2: Convert to fraction form
   2,109.23/3,164.43 = 648.41/x
3. Step 3: Cross multiply
   2,109.23x = 3,164.43 × 648.41
4. Step 4: Simplify right side
   2,109.23x = 2,051,848.06
5. Step 5: Solve for x
   x = 2,051,848.06/2,109.23
6. Step 6: Final answer
   x = 972.79