Finding the Fourth Proportional to 11,933.16, 17,886.12 and 5,684.31

Step by Step Solution

1. Step 1: Write the proportion equation
   11,933.16 : 17,886.12 = 5,684.31 : x
2. Step 2: Convert to fraction form
   11,933.16/17,886.12 = 5,684.31/x
3. Step 3: Cross multiply
   11,933.16x = 17,886.12 × 5,684.31
4. Step 4: Simplify right side
   11,933.16x = 101,670,229.46
5. Step 5: Solve for x
   x = 101,670,229.46/11,933.16
6. Step 6: Final answer
   x = 8,519.98