Finding the Fourth Proportional to 9,614.16, 13,268.04 and 5,636.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,614.16 : 13,268.04 = 5,636.55 : x
2. Step 2: Convert to fraction form
   9,614.16/13,268.04 = 5,636.55/x
3. Step 3: Cross multiply
   9,614.16x = 13,268.04 × 5,636.55
4. Step 4: Simplify right side
   9,614.16x = 74,785,970.86
5. Step 5: Solve for x
   x = 74,785,970.86/9,614.16
6. Step 6: Final answer
   x = 7,778.73