Finding the Fourth Proportional to 9,627.03, 13,288.58 and 5,646.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,627.03 : 13,288.58 = 5,646.69 : x
2. Step 2: Convert to fraction form
   9,627.03/13,288.58 = 5,646.69/x
3. Step 3: Cross multiply
   9,627.03x = 13,288.58 × 5,646.69
4. Step 4: Simplify right side
   9,627.03x = 75,036,463.57
5. Step 5: Solve for x
   x = 75,036,463.57/9,627.03
6. Step 6: Final answer
   x = 7,794.35