Finding the Fourth Proportional to 5,649.86, 7,796.72 and 3,097.64

Step by Step Solution

1. Step 1: Write the proportion equation
   5,649.86 : 7,796.72 = 3,097.64 : x
2. Step 2: Convert to fraction form
   5,649.86/7,796.72 = 3,097.64/x
3. Step 3: Cross multiply
   5,649.86x = 7,796.72 × 3,097.64
4. Step 4: Simplify right side
   5,649.86x = 24,151,406.51
5. Step 5: Solve for x
   x = 24,151,406.51/5,649.86
6. Step 6: Final answer
   x = 4,274.69