Finding the Fourth Proportional to 9,618.62, 13,273.81 and 5,640.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,618.62 : 13,273.81 = 5,640.10 : x
2. Step 2: Convert to fraction form
   9,618.62/13,273.81 = 5,640.10/x
3. Step 3: Cross multiply
   9,618.62x = 13,273.81 × 5,640.10
4. Step 4: Simplify right side
   9,618.62x = 74,865,568.50
5. Step 5: Solve for x
   x = 74,865,568.50/9,618.62
6. Step 6: Final answer
   x = 7,783.40