Finding the Fourth Proportional to 9,574.76, 13,214.42 and 5,383.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,574.76 : 13,214.42 = 5,383.82 : x
2. Step 2: Convert to fraction form
   9,574.76/13,214.42 = 5,383.82/x
3. Step 3: Cross multiply
   9,574.76x = 13,214.42 × 5,383.82
4. Step 4: Simplify right side
   9,574.76x = 71,144,058.68
5. Step 5: Solve for x
   x = 71,144,058.68/9,574.76
6. Step 6: Final answer
   x = 7,430.38