Finding the Fourth Proportional to 20,569.98, 30,856.17 and 5,780.06

Step by Step Solution

1. Step 1: Write the proportion equation
   20,569.98 : 30,856.17 = 5,780.06 : x
2. Step 2: Convert to fraction form
   20,569.98/30,856.17 = 5,780.06/x
3. Step 3: Cross multiply
   20,569.98x = 30,856.17 × 5,780.06
4. Step 4: Simplify right side
   20,569.98x = 178,350,359.69
5. Step 5: Solve for x
   x = 178,350,359.69/20,569.98
6. Step 6: Final answer
   x = 8,670.42