Finding the Fourth Proportional to 7,706.43, 10,623.83 and 5,184.09

Step by Step Solution

1. Step 1: Write the proportion equation
   7,706.43 : 10,623.83 = 5,184.09 : x
2. Step 2: Convert to fraction form
   7,706.43/10,623.83 = 5,184.09/x
3. Step 3: Cross multiply
   7,706.43x = 10,623.83 × 5,184.09
4. Step 4: Simplify right side
   7,706.43x = 55,074,864.94
5. Step 5: Solve for x
   x = 55,074,864.94/7,706.43
6. Step 6: Final answer
   x = 7,146.61