Finding the Fourth Proportional to 9,718.14, 13,404.78 and 5,739.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,718.14 : 13,404.78 = 5,739.02 : x
2. Step 2: Convert to fraction form
   9,718.14/13,404.78 = 5,739.02/x
3. Step 3: Cross multiply
   9,718.14x = 13,404.78 × 5,739.02
4. Step 4: Simplify right side
   9,718.14x = 76,930,300.52
5. Step 5: Solve for x
   x = 76,930,300.52/9,718.14
6. Step 6: Final answer
   x = 7,916.15