Finding the Fourth Proportional to 9,400.86, 12,975.48 and 5,626.26

Step by Step Solution

1. Step 1: Write the proportion equation
   9,400.86 : 12,975.48 = 5,626.26 : x
2. Step 2: Convert to fraction form
   9,400.86/12,975.48 = 5,626.26/x
3. Step 3: Cross multiply
   9,400.86x = 12,975.48 × 5,626.26
4. Step 4: Simplify right side
   9,400.86x = 73,003,424.10
5. Step 5: Solve for x
   x = 73,003,424.10/9,400.86
6. Step 6: Final answer
   x = 7,765.61