Finding the Fourth Proportional to 10,500.41, 14,490.57 and 5,784.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,500.41 : 14,490.57 = 5,784.69 : x
2. Step 2: Convert to fraction form
   10,500.41/14,490.57 = 5,784.69/x
3. Step 3: Cross multiply
   10,500.41x = 14,490.57 × 5,784.69
4. Step 4: Simplify right side
   10,500.41x = 83,823,455.37
5. Step 5: Solve for x
   x = 83,823,455.37/10,500.41
6. Step 6: Final answer
   x = 7,982.87