Finding the Fourth Proportional to 10,499.46, 14,489.28 and 5,783.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.46 : 14,489.28 = 5,783.82 : x
2. Step 2: Convert to fraction form
   10,499.46/14,489.28 = 5,783.82/x
3. Step 3: Cross multiply
   10,499.46x = 14,489.28 × 5,783.82
4. Step 4: Simplify right side
   10,499.46x = 83,803,387.45
5. Step 5: Solve for x
   x = 83,803,387.45/10,499.46
6. Step 6: Final answer
   x = 7,981.69