Finding the Fourth Proportional to 10,715.68, 16,078.13 and 5,784.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,715.68 : 16,078.13 = 5,784.34 : x
2. Step 2: Convert to fraction form
   10,715.68/16,078.13 = 5,784.34/x
3. Step 3: Cross multiply
   10,715.68x = 16,078.13 × 5,784.34
4. Step 4: Simplify right side
   10,715.68x = 93,001,370.48
5. Step 5: Solve for x
   x = 93,001,370.48/10,715.68
6. Step 6: Final answer
   x = 8,679.00