Finding the Fourth Proportional to 9,684.17, 13,363.32 and 5,434.65

Step by Step Solution

1. Step 1: Write the proportion equation
   9,684.17 : 13,363.32 = 5,434.65 : x
2. Step 2: Convert to fraction form
   9,684.17/13,363.32 = 5,434.65/x
3. Step 3: Cross multiply
   9,684.17x = 13,363.32 × 5,434.65
4. Step 4: Simplify right side
   9,684.17x = 72,624,967.04
5. Step 5: Solve for x
   x = 72,624,967.04/9,684.17
6. Step 6: Final answer
   x = 7,499.35