Finding the Fourth Proportional to 2,109.91, 3,164.87 and 649.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.91 : 3,164.87 = 649.05 : x
2. Step 2: Convert to fraction form
   2,109.91/3,164.87 = 649.05/x
3. Step 3: Cross multiply
   2,109.91x = 3,164.87 × 649.05
4. Step 4: Simplify right side
   2,109.91x = 2,054,155.63
5. Step 5: Solve for x
   x = 2,054,155.63/2,109.91
6. Step 6: Final answer
   x = 973.58