Finding the Fourth Proportional to 10,498.08, 14,486.22 and 5,782.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.08 : 14,486.22 = 5,782.08 : x
2. Step 2: Convert to fraction form
   10,498.08/14,486.22 = 5,782.08/x
3. Step 3: Cross multiply
   10,498.08x = 14,486.22 × 5,782.08
4. Step 4: Simplify right side
   10,498.08x = 83,760,482.94
5. Step 5: Solve for x
   x = 83,760,482.94/10,498.08
6. Step 6: Final answer
   x = 7,978.65