Finding the Fourth Proportional to 10,498.72, 14,489.10 and 5,783.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.72 : 14,489.10 = 5,783.88 : x
2. Step 2: Convert to fraction form
   10,498.72/14,489.10 = 5,783.88/x
3. Step 3: Cross multiply
   10,498.72x = 14,489.10 × 5,783.88
4. Step 4: Simplify right side
   10,498.72x = 83,803,215.71
5. Step 5: Solve for x
   x = 83,803,215.71/10,498.72
6. Step 6: Final answer
   x = 7,982.23