Finding the Fourth Proportional to 10,498.71, 14,488.11 and 5,782.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.71 : 14,488.11 = 5,782.89 : x
2. Step 2: Convert to fraction form
   10,498.71/14,488.11 = 5,782.89/x
3. Step 3: Cross multiply
   10,498.71x = 14,488.11 × 5,782.89
4. Step 4: Simplify right side
   10,498.71x = 83,783,146.44
5. Step 5: Solve for x
   x = 83,783,146.44/10,498.71
6. Step 6: Final answer
   x = 7,980.33