Finding the Fourth Proportional to 10,499.50, 14,489.31 and 5,783.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.50 : 14,489.31 = 5,783.77 : x
2. Step 2: Convert to fraction form
   10,499.50/14,489.31 = 5,783.77/x
3. Step 3: Cross multiply
   10,499.50x = 14,489.31 × 5,783.77
4. Step 4: Simplify right side
   10,499.50x = 83,802,836.50
5. Step 5: Solve for x
   x = 83,802,836.50/10,499.50
6. Step 6: Final answer
   x = 7,981.60