Finding the Fourth Proportional to 10,500.48, 14,489.64 and 5,784.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,500.48 : 14,489.64 = 5,784.60 : x
2. Step 2: Convert to fraction form
   10,500.48/14,489.64 = 5,784.60/x
3. Step 3: Cross multiply
   10,500.48x = 14,489.64 × 5,784.60
4. Step 4: Simplify right side
   10,500.48x = 83,816,771.54
5. Step 5: Solve for x
   x = 83,816,771.54/10,500.48
6. Step 6: Final answer
   x = 7,982.18