Finding the Fourth Proportional to 10,500, 14,490.05 and 5,784.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,500 : 14,490.05 = 5,784.18 : x
2. Step 2: Convert to fraction form
   10,500/14,490.05 = 5,784.18/x
3. Step 3: Cross multiply
   10,500x = 14,490.05 × 5,784.18
4. Step 4: Simplify right side
   10,500x = 83,813,057.41
5. Step 5: Solve for x
   x = 83,813,057.41/10,500
6. Step 6: Final answer
   x = 7,982.20