Finding the Fourth Proportional to 10,499.49, 14,489.33 and 5,783.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.49 : 14,489.33 = 5,783.76 : x
2. Step 2: Convert to fraction form
   10,499.49/14,489.33 = 5,783.76/x
3. Step 3: Cross multiply
   10,499.49x = 14,489.33 × 5,783.76
4. Step 4: Simplify right side
   10,499.49x = 83,802,705.92
5. Step 5: Solve for x
   x = 83,802,705.92/10,499.49
6. Step 6: Final answer
   x = 7,981.60