Finding the Fourth Proportional to 9,464.57, 13,066.34 and 5,688.65

Step by Step Solution

1. Step 1: Write the proportion equation
   9,464.57 : 13,066.34 = 5,688.65 : x
2. Step 2: Convert to fraction form
   9,464.57/13,066.34 = 5,688.65/x
3. Step 3: Cross multiply
   9,464.57x = 13,066.34 × 5,688.65
4. Step 4: Simplify right side
   9,464.57x = 74,329,741.27
5. Step 5: Solve for x
   x = 74,329,741.27/9,464.57
6. Step 6: Final answer
   x = 7,853.48