Finding the Fourth Proportional to 5,151.78, 7,766.27 and 4,808.47

Step by Step Solution

1. Step 1: Write the proportion equation
   5,151.78 : 7,766.27 = 4,808.47 : x
2. Step 2: Convert to fraction form
   5,151.78/7,766.27 = 4,808.47/x
3. Step 3: Cross multiply
   5,151.78x = 7,766.27 × 4,808.47
4. Step 4: Simplify right side
   5,151.78x = 37,343,898.04
5. Step 5: Solve for x
   x = 37,343,898.04/5,151.78
6. Step 6: Final answer
   x = 7,248.74