Finding the Fourth Proportional to 6,863.30, 9,464.76 and 5,664.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,863.30 : 9,464.76 = 5,664.10 : x
2. Step 2: Convert to fraction form
   6,863.30/9,464.76 = 5,664.10/x
3. Step 3: Cross multiply
   6,863.30x = 9,464.76 × 5,664.10
4. Step 4: Simplify right side
   6,863.30x = 53,609,323.45
5. Step 5: Solve for x
   x = 53,609,323.45/6,863.30
6. Step 6: Final answer
   x = 7,811.01