Finding the Fourth Proportional to 9,633.48, 13,294.25 and 5,384.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,633.48 : 13,294.25 = 5,384.76 : x
2. Step 2: Convert to fraction form
   9,633.48/13,294.25 = 5,384.76/x
3. Step 3: Cross multiply
   9,633.48x = 13,294.25 × 5,384.76
4. Step 4: Simplify right side
   9,633.48x = 71,586,318.71
5. Step 5: Solve for x
   x = 71,586,318.71/9,633.48
6. Step 6: Final answer
   x = 7,430.99