Finding the Fourth Proportional to 9,715.86, 13,407.90 and 5,467.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,715.86 : 13,407.90 = 5,467.16 : x
2. Step 2: Convert to fraction form
   9,715.86/13,407.90 = 5,467.16/x
3. Step 3: Cross multiply
   9,715.86x = 13,407.90 × 5,467.16
4. Step 4: Simplify right side
   9,715.86x = 73,303,137.15
5. Step 5: Solve for x
   x = 73,303,137.15/9,715.86
6. Step 6: Final answer
   x = 7,544.69