Finding the Fourth Proportional to 19,806.42, 29,711.58 and 5,766.54

Step by Step Solution

1. Step 1: Write the proportion equation
   19,806.42 : 29,711.58 = 5,766.54 : x
2. Step 2: Convert to fraction form
   19,806.42/29,711.58 = 5,766.54/x
3. Step 3: Cross multiply
   19,806.42x = 29,711.58 × 5,766.54
4. Step 4: Simplify right side
   19,806.42x = 171,333,014.53
5. Step 5: Solve for x
   x = 171,333,014.53/19,806.42
6. Step 6: Final answer
   x = 8,650.38