Finding the Fourth Proportional to 5,181.48, 7,766.37 and 4,766.22

Step by Step Solution

1. Step 1: Write the proportion equation
   5,181.48 : 7,766.37 = 4,766.22 : x
2. Step 2: Convert to fraction form
   5,181.48/7,766.37 = 4,766.22/x
3. Step 3: Cross multiply
   5,181.48x = 7,766.37 × 4,766.22
4. Step 4: Simplify right side
   5,181.48x = 37,016,228.02
5. Step 5: Solve for x
   x = 37,016,228.02/5,181.48
6. Step 6: Final answer
   x = 7,143.95