Finding the Fourth Proportional to 9,401.25, 12,970.50 and 5,365.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,401.25 : 12,970.50 = 5,365.20 : x
2. Step 2: Convert to fraction form
   9,401.25/12,970.50 = 5,365.20/x
3. Step 3: Cross multiply
   9,401.25x = 12,970.50 × 5,365.20
4. Step 4: Simplify right side
   9,401.25x = 69,589,326.60
5. Step 5: Solve for x
   x = 69,589,326.60/9,401.25
6. Step 6: Final answer
   x = 7,402.14