Finding the Fourth Proportional to 10,933.64, 16,403.28 and 5,083.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,933.64 : 16,403.28 = 5,083.40 : x
2. Step 2: Convert to fraction form
   10,933.64/16,403.28 = 5,083.40/x
3. Step 3: Cross multiply
   10,933.64x = 16,403.28 × 5,083.40
4. Step 4: Simplify right side
   10,933.64x = 83,384,433.55
5. Step 5: Solve for x
   x = 83,384,433.55/10,933.64
6. Step 6: Final answer
   x = 7,626.41