Finding the Fourth Proportional to 2,109.58, 3,164.67 and 648.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.58 : 3,164.67 = 648.86 : x
2. Step 2: Convert to fraction form
   2,109.58/3,164.67 = 648.86/x
3. Step 3: Cross multiply
   2,109.58x = 3,164.67 × 648.86
4. Step 4: Simplify right side
   2,109.58x = 2,053,411.95
5. Step 5: Solve for x
   x = 2,053,411.95/2,109.58
6. Step 6: Final answer
   x = 973.38