Finding the Fourth Proportional to 9,806.59, 14,697.96 and 5,649.49

Step by Step Solution

1. Step 1: Write the proportion equation
   9,806.59 : 14,697.96 = 5,649.49 : x
2. Step 2: Convert to fraction form
   9,806.59/14,697.96 = 5,649.49/x
3. Step 3: Cross multiply
   9,806.59x = 14,697.96 × 5,649.49
4. Step 4: Simplify right side
   9,806.59x = 83,035,978.04
5. Step 5: Solve for x
   x = 83,035,978.04/9,806.59
6. Step 6: Final answer
   x = 8,467.37