Finding the Fourth Proportional to 10,500, 14,490 and 5,784.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,500 : 14,490 = 5,784.38 : x
2. Step 2: Convert to fraction form
   10,500/14,490 = 5,784.38/x
3. Step 3: Cross multiply
   10,500x = 14,490 × 5,784.38
4. Step 4: Simplify right side
   10,500x = 83,815,702.43
5. Step 5: Solve for x
   x = 83,815,702.43/10,500
6. Step 6: Final answer
   x = 7,982.45