Finding the Fourth Proportional to 2,109.06, 3,164.13 and 648.21

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.06 : 3,164.13 = 648.21 : x
2. Step 2: Convert to fraction form
   2,109.06/3,164.13 = 648.21/x
3. Step 3: Cross multiply
   2,109.06x = 3,164.13 × 648.21
4. Step 4: Simplify right side
   2,109.06x = 2,051,020.71
5. Step 5: Solve for x
   x = 2,051,020.71/2,109.06
6. Step 6: Final answer
   x = 972.48