Finding the Fourth Proportional to 2,109.66, 3,164.37 and 648.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.66 : 3,164.37 = 648.63 : x
2. Step 2: Convert to fraction form
   2,109.66/3,164.37 = 648.63/x
3. Step 3: Cross multiply
   2,109.66x = 3,164.37 × 648.63
4. Step 4: Simplify right side
   2,109.66x = 2,052,505.31
5. Step 5: Solve for x
   x = 2,052,505.31/2,109.66
6. Step 6: Final answer
   x = 972.91