Finding the Fourth Proportional to 9,614.16, 13,265.64 and 5,636.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,614.16 : 13,265.64 = 5,636.52 : x
2. Step 2: Convert to fraction form
   9,614.16/13,265.64 = 5,636.52/x
3. Step 3: Cross multiply
   9,614.16x = 13,265.64 × 5,636.52
4. Step 4: Simplify right side
   9,614.16x = 74,772,045.17
5. Step 5: Solve for x
   x = 74,772,045.17/9,614.16
6. Step 6: Final answer
   x = 7,777.28