Finding the Fourth Proportional to 2,109.64, 3,164.94 and 648.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.64 : 3,164.94 = 648.76 : x
2. Step 2: Convert to fraction form
   2,109.64/3,164.94 = 648.76/x
3. Step 3: Cross multiply
   2,109.64x = 3,164.94 × 648.76
4. Step 4: Simplify right side
   2,109.64x = 2,053,286.47
5. Step 5: Solve for x
   x = 2,053,286.47/2,109.64
6. Step 6: Final answer
   x = 973.29