Finding the Fourth Proportional to 10,499.76, 14,489.67 and 5,784

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.76 : 14,489.67 = 5,784 : x
2. Step 2: Convert to fraction form
   10,499.76/14,489.67 = 5,784/x
3. Step 3: Cross multiply
   10,499.76x = 14,489.67 × 5,784
4. Step 4: Simplify right side
   10,499.76x = 83,808,251.28
5. Step 5: Solve for x
   x = 83,808,251.28/10,499.76
6. Step 6: Final answer
   x = 7,981.92