Finding the Fourth Proportional to 10,499.84, 14,489.96 and 5,784.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.84 : 14,489.96 = 5,784.08 : x
2. Step 2: Convert to fraction form
   10,499.84/14,489.96 = 5,784.08/x
3. Step 3: Cross multiply
   10,499.84x = 14,489.96 × 5,784.08
4. Step 4: Simplify right side
   10,499.84x = 83,811,087.84
5. Step 5: Solve for x
   x = 83,811,087.84/10,499.84
6. Step 6: Final answer
   x = 7,982.13