Finding the Fourth Proportional to 10,684.33, 16,012.53 and 7,732.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,684.33 : 16,012.53 = 7,732.71 : x
2. Step 2: Convert to fraction form
   10,684.33/16,012.53 = 7,732.71/x
3. Step 3: Cross multiply
   10,684.33x = 16,012.53 × 7,732.71
4. Step 4: Simplify right side
   10,684.33x = 123,820,250.86
5. Step 5: Solve for x
   x = 123,820,250.86/10,684.33
6. Step 6: Final answer
   x = 11,588.96