Finding the Fourth Proportional to 2,109.16, 3,164.24 and 648.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.16 : 3,164.24 = 648.35 : x
2. Step 2: Convert to fraction form
   2,109.16/3,164.24 = 648.35/x
3. Step 3: Cross multiply
   2,109.16x = 3,164.24 × 648.35
4. Step 4: Simplify right side
   2,109.16x = 2,051,548.64
5. Step 5: Solve for x
   x = 2,051,548.64/2,109.16
6. Step 6: Final answer
   x = 972.68