Finding the Fourth Proportional to 9,530.25, 13,151.70 and 5,338.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,530.25 : 13,151.70 = 5,338.50 : x
2. Step 2: Convert to fraction form
   9,530.25/13,151.70 = 5,338.50/x
3. Step 3: Cross multiply
   9,530.25x = 13,151.70 × 5,338.50
4. Step 4: Simplify right side
   9,530.25x = 70,210,350.45
5. Step 5: Solve for x
   x = 70,210,350.45/9,530.25
6. Step 6: Final answer
   x = 7,367.10