Finding the Fourth Proportional to 9,633.96, 13,290.93 and 7,636.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,633.96 : 13,290.93 = 7,636.50 : x
2. Step 2: Convert to fraction form
   9,633.96/13,290.93 = 7,636.50/x
3. Step 3: Cross multiply
   9,633.96x = 13,290.93 × 7,636.50
4. Step 4: Simplify right side
   9,633.96x = 101,496,186.95
5. Step 5: Solve for x
   x = 101,496,186.95/9,633.96
6. Step 6: Final answer
   x = 10,535.25