Finding the Fourth Proportional to 9,629.23, 13,288.35 and 5,380.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,629.23 : 13,288.35 = 5,380.30 : x
2. Step 2: Convert to fraction form
   9,629.23/13,288.35 = 5,380.30/x
3. Step 3: Cross multiply
   9,629.23x = 13,288.35 × 5,380.30
4. Step 4: Simplify right side
   9,629.23x = 71,495,309.51
5. Step 5: Solve for x
   x = 71,495,309.51/9,629.23
6. Step 6: Final answer
   x = 7,424.82