Finding the Fourth Proportional to 10,500.48, 14,490.09 and 5,784.39

Step by Step Solution

1. Step 1: Write the proportion equation
   10,500.48 : 14,490.09 = 5,784.39 : x
2. Step 2: Convert to fraction form
   10,500.48/14,490.09 = 5,784.39/x
3. Step 3: Cross multiply
   10,500.48x = 14,490.09 × 5,784.39
4. Step 4: Simplify right side
   10,500.48x = 83,816,331.70
5. Step 5: Solve for x
   x = 83,816,331.70/10,500.48
6. Step 6: Final answer
   x = 7,982.14