Finding the Fourth Proportional to 6,499.06, 8,961.78 and 5,238.80

Step by Step Solution

1. Step 1: Write the proportion equation
   6,499.06 : 8,961.78 = 5,238.80 : x
2. Step 2: Convert to fraction form
   6,499.06/8,961.78 = 5,238.80/x
3. Step 3: Cross multiply
   6,499.06x = 8,961.78 × 5,238.80
4. Step 4: Simplify right side
   6,499.06x = 46,948,973.06
5. Step 5: Solve for x
   x = 46,948,973.06/6,499.06
6. Step 6: Final answer
   x = 7,223.96