Finding the Fourth Proportional to 2,109.41, 3,164.00 and 648.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.41 : 3,164.00 = 648.57 : x
2. Step 2: Convert to fraction form
   2,109.41/3,164.00 = 648.57/x
3. Step 3: Cross multiply
   2,109.41x = 3,164.00 × 648.57
4. Step 4: Simplify right side
   2,109.41x = 2,052,084.10
5. Step 5: Solve for x
   x = 2,052,084.10/2,109.41
6. Step 6: Final answer
   x = 972.82