Finding the Fourth Proportional to 10,500.06, 14,490.04 and 5,784.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,500.06 : 14,490.04 = 5,784.34 : x
2. Step 2: Convert to fraction form
   10,500.06/14,490.04 = 5,784.34/x
3. Step 3: Cross multiply
   10,500.06x = 14,490.04 × 5,784.34
4. Step 4: Simplify right side
   10,500.06x = 83,815,317.97
5. Step 5: Solve for x
   x = 83,815,317.97/10,500.06
6. Step 6: Final answer
   x = 7,982.37