Finding the Fourth Proportional to 10,499.26, 14,489.80 and 5,784.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.26 : 14,489.80 = 5,784.38 : x
2. Step 2: Convert to fraction form
   10,499.26/14,489.80 = 5,784.38/x
3. Step 3: Cross multiply
   10,499.26x = 14,489.80 × 5,784.38
4. Step 4: Simplify right side
   10,499.26x = 83,814,509.32
5. Step 5: Solve for x
   x = 83,814,509.32/10,499.26
6. Step 6: Final answer
   x = 7,982.90