Finding the Fourth Proportional to 9,982.64, 13,773.85 and 5,733.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,982.64 : 13,773.85 = 5,733.38 : x
2. Step 2: Convert to fraction form
   9,982.64/13,773.85 = 5,733.38/x
3. Step 3: Cross multiply
   9,982.64x = 13,773.85 × 5,733.38
4. Step 4: Simplify right side
   9,982.64x = 78,970,736.21
5. Step 5: Solve for x
   x = 78,970,736.21/9,982.64
6. Step 6: Final answer
   x = 7,910.80