Finding the Fourth Proportional to 10,499.52, 14,489.10 and 5,783.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.52 : 14,489.10 = 5,783.70 : x
2. Step 2: Convert to fraction form
   10,499.52/14,489.10 = 5,783.70/x
3. Step 3: Cross multiply
   10,499.52x = 14,489.10 × 5,783.70
4. Step 4: Simplify right side
   10,499.52x = 83,800,607.67
5. Step 5: Solve for x
   x = 83,800,607.67/10,499.52
6. Step 6: Final answer
   x = 7,981.38