Finding the Fourth Proportional to 6,649.31, 9,164.80 and 4,656.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,649.31 : 9,164.80 = 4,656.31 : x
2. Step 2: Convert to fraction form
   6,649.31/9,164.80 = 4,656.31/x
3. Step 3: Cross multiply
   6,649.31x = 9,164.80 × 4,656.31
4. Step 4: Simplify right side
   6,649.31x = 42,674,149.89
5. Step 5: Solve for x
   x = 42,674,149.89/6,649.31
6. Step 6: Final answer
   x = 6,417.83