Finding the Fourth Proportional to 2,109.35, 3,164.02 and 648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.35 : 3,164.02 = 648.50 : x
2. Step 2: Convert to fraction form
   2,109.35/3,164.02 = 648.50/x
3. Step 3: Cross multiply
   2,109.35x = 3,164.02 × 648.50
4. Step 4: Simplify right side
   2,109.35x = 2,051,849.53
5. Step 5: Solve for x
   x = 2,051,849.53/2,109.35
6. Step 6: Final answer
   x = 972.74