Finding the Fourth Proportional to 9,685.79, 14,530.39 and 5,004.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,685.79 : 14,530.39 = 5,004.50 : x
2. Step 2: Convert to fraction form
   9,685.79/14,530.39 = 5,004.50/x
3. Step 3: Cross multiply
   9,685.79x = 14,530.39 × 5,004.50
4. Step 4: Simplify right side
   9,685.79x = 72,717,336.76
5. Step 5: Solve for x
   x = 72,717,336.76/9,685.79
6. Step 6: Final answer
   x = 7,507.63