Finding the Fourth Proportional to 9,733.82, 13,416.89 and 7,605.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,733.82 : 13,416.89 = 7,605.63 : x
2. Step 2: Convert to fraction form
   9,733.82/13,416.89 = 7,605.63/x
3. Step 3: Cross multiply
   9,733.82x = 13,416.89 × 7,605.63
4. Step 4: Simplify right side
   9,733.82x = 102,043,863.06
5. Step 5: Solve for x
   x = 102,043,863.06/9,733.82
6. Step 6: Final answer
   x = 10,483.44