Finding the Fourth Proportional to 2,109.21, 3,164.33 and 648.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.21 : 3,164.33 = 648.32 : x
2. Step 2: Convert to fraction form
   2,109.21/3,164.33 = 648.32/x
3. Step 3: Cross multiply
   2,109.21x = 3,164.33 × 648.32
4. Step 4: Simplify right side
   2,109.21x = 2,051,484.22
5. Step 5: Solve for x
   x = 2,051,484.22/2,109.21
6. Step 6: Final answer
   x = 972.63