Finding the Fourth Proportional to 9,636.24, 13,300.23 and 5,658.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,636.24 : 13,300.23 = 5,658.63 : x
2. Step 2: Convert to fraction form
   9,636.24/13,300.23 = 5,658.63/x
3. Step 3: Cross multiply
   9,636.24x = 13,300.23 × 5,658.63
4. Step 4: Simplify right side
   9,636.24x = 75,261,080.48
5. Step 5: Solve for x
   x = 75,261,080.48/9,636.24
6. Step 6: Final answer
   x = 7,810.21