Finding the Fourth Proportional to 10,498.56, 14,488.11 and 5,782.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.56 : 14,488.11 = 5,782.88 : x
2. Step 2: Convert to fraction form
   10,498.56/14,488.11 = 5,782.88/x
3. Step 3: Cross multiply
   10,498.56x = 14,488.11 × 5,782.88
4. Step 4: Simplify right side
   10,498.56x = 83,782,929.12
5. Step 5: Solve for x
   x = 83,782,929.12/10,498.56
6. Step 6: Final answer
   x = 7,980.42