Finding the Fourth Proportional to 2,109.47, 3,164.09 and 648.43

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.47 : 3,164.09 = 648.43 : x
2. Step 2: Convert to fraction form
   2,109.47/3,164.09 = 648.43/x
3. Step 3: Cross multiply
   2,109.47x = 3,164.09 × 648.43
4. Step 4: Simplify right side
   2,109.47x = 2,051,679.73
5. Step 5: Solve for x
   x = 2,051,679.73/2,109.47
6. Step 6: Final answer
   x = 972.61