Finding the Fourth Proportional to 9,397.86, 12,969.06 and 5,206.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,397.86 : 12,969.06 = 5,206.14 : x
2. Step 2: Convert to fraction form
   9,397.86/12,969.06 = 5,206.14/x
3. Step 3: Cross multiply
   9,397.86x = 12,969.06 × 5,206.14
4. Step 4: Simplify right side
   9,397.86x = 67,518,742.03
5. Step 5: Solve for x
   x = 67,518,742.03/9,397.86
6. Step 6: Final answer
   x = 7,184.48