Finding the Fourth Proportional to 9,639.74, 13,301.43 and 5,662.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,639.74 : 13,301.43 = 5,662.14 : x
2. Step 2: Convert to fraction form
   9,639.74/13,301.43 = 5,662.14/x
3. Step 3: Cross multiply
   9,639.74x = 13,301.43 × 5,662.14
4. Step 4: Simplify right side
   9,639.74x = 75,314,558.86
5. Step 5: Solve for x
   x = 75,314,558.86/9,639.74
6. Step 6: Final answer
   x = 7,812.92