Finding the Fourth Proportional to 10,498.54, 14,487.78 and 5,782.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.54 : 14,487.78 = 5,782.72 : x
2. Step 2: Convert to fraction form
   10,498.54/14,487.78 = 5,782.72/x
3. Step 3: Cross multiply
   10,498.54x = 14,487.78 × 5,782.72
4. Step 4: Simplify right side
   10,498.54x = 83,778,775.16
5. Step 5: Solve for x
   x = 83,778,775.16/10,498.54
6. Step 6: Final answer
   x = 7,980.04