Finding the Fourth Proportional to 9,633.82, 13,285.78 and 7,395.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,633.82 : 13,285.78 = 7,395.80 : x
2. Step 2: Convert to fraction form
   9,633.82/13,285.78 = 7,395.80/x
3. Step 3: Cross multiply
   9,633.82x = 13,285.78 × 7,395.80
4. Step 4: Simplify right side
   9,633.82x = 98,258,971.72
5. Step 5: Solve for x
   x = 98,258,971.72/9,633.82
6. Step 6: Final answer
   x = 10,199.38