Finding the Fourth Proportional to 10,500.49, 14,490.71 and 5,784.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,500.49 : 14,490.71 = 5,784.76 : x
2. Step 2: Convert to fraction form
   10,500.49/14,490.71 = 5,784.76/x
3. Step 3: Cross multiply
   10,500.49x = 14,490.71 × 5,784.76
4. Step 4: Simplify right side
   10,500.49x = 83,825,279.58
5. Step 5: Solve for x
   x = 83,825,279.58/10,500.49
6. Step 6: Final answer
   x = 7,982.99