Finding the Fourth Proportional to 10,499.88, 14,489.46 and 5,784.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.88 : 14,489.46 = 5,784.15 : x
2. Step 2: Convert to fraction form
   10,499.88/14,489.46 = 5,784.15/x
3. Step 3: Cross multiply
   10,499.88x = 14,489.46 × 5,784.15
4. Step 4: Simplify right side
   10,499.88x = 83,809,210.06
5. Step 5: Solve for x
   x = 83,809,210.06/10,499.88
6. Step 6: Final answer
   x = 7,981.92