Finding the Fourth Proportional to 10,499.56, 14,489.22 and 5,784.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.56 : 14,489.22 = 5,784.28 : x
2. Step 2: Convert to fraction form
   10,499.56/14,489.22 = 5,784.28/x
3. Step 3: Cross multiply
   10,499.56x = 14,489.22 × 5,784.28
4. Step 4: Simplify right side
   10,499.56x = 83,809,705.46
5. Step 5: Solve for x
   x = 83,809,705.46/10,499.56
6. Step 6: Final answer
   x = 7,982.21