Finding the Fourth Proportional to 10,498.92, 14,488.74 and 5,783.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.92 : 14,488.74 = 5,783.46 : x
2. Step 2: Convert to fraction form
   10,498.92/14,488.74 = 5,783.46/x
3. Step 3: Cross multiply
   10,498.92x = 14,488.74 × 5,783.46
4. Step 4: Simplify right side
   10,498.92x = 83,795,048.24
5. Step 5: Solve for x
   x = 83,795,048.24/10,498.92
6. Step 6: Final answer
   x = 7,981.30