Finding the Fourth Proportional to 2,109.60, 3,164.49 and 648.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.60 : 3,164.49 = 648.81 : x
2. Step 2: Convert to fraction form
   2,109.60/3,164.49 = 648.81/x
3. Step 3: Cross multiply
   2,109.60x = 3,164.49 × 648.81
4. Step 4: Simplify right side
   2,109.60x = 2,053,152.76
5. Step 5: Solve for x
   x = 2,053,152.76/2,109.60
6. Step 6: Final answer
   x = 973.24