Finding the Fourth Proportional to 10,498.45, 14,488.53 and 5,782.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.45 : 14,488.53 = 5,782.74 : x
2. Step 2: Convert to fraction form
   10,498.45/14,488.53 = 5,782.74/x
3. Step 3: Cross multiply
   10,498.45x = 14,488.53 × 5,782.74
4. Step 4: Simplify right side
   10,498.45x = 83,783,401.97
5. Step 5: Solve for x
   x = 83,783,401.97/10,498.45
6. Step 6: Final answer
   x = 7,980.55