Finding the Fourth Proportional to 2,109.93, 3,164.90 and 649.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.93 : 3,164.90 = 649.10 : x
2. Step 2: Convert to fraction form
   2,109.93/3,164.90 = 649.10/x
3. Step 3: Cross multiply
   2,109.93x = 3,164.90 × 649.10
4. Step 4: Simplify right side
   2,109.93x = 2,054,317.52
5. Step 5: Solve for x
   x = 2,054,317.52/2,109.93
6. Step 6: Final answer
   x = 973.64