Finding the Fourth Proportional to 5,647.86, 7,796.25 and 5,498.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,647.86 : 7,796.25 = 5,498.82 : x
2. Step 2: Convert to fraction form
   5,647.86/7,796.25 = 5,498.82/x
3. Step 3: Cross multiply
   5,647.86x = 7,796.25 × 5,498.82
4. Step 4: Simplify right side
   5,647.86x = 42,870,175.43
5. Step 5: Solve for x
   x = 42,870,175.43/5,647.86
6. Step 6: Final answer
   x = 7,590.52