Finding the Fourth Proportional to 9,610.69, 13,263.83 and 5,635.17

Step by Step Solution

1. Step 1: Write the proportion equation
   9,610.69 : 13,263.83 = 5,635.17 : x
2. Step 2: Convert to fraction form
   9,610.69/13,263.83 = 5,635.17/x
3. Step 3: Cross multiply
   9,610.69x = 13,263.83 × 5,635.17
4. Step 4: Simplify right side
   9,610.69x = 74,743,936.90
5. Step 5: Solve for x
   x = 74,743,936.90/9,610.69
6. Step 6: Final answer
   x = 7,777.17