Finding the Fourth Proportional to 10,557.71, 14,569.68 and 5,777.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,557.71 : 14,569.68 = 5,777.56 : x
2. Step 2: Convert to fraction form
   10,557.71/14,569.68 = 5,777.56/x
3. Step 3: Cross multiply
   10,557.71x = 14,569.68 × 5,777.56
4. Step 4: Simplify right side
   10,557.71x = 84,177,200.38
5. Step 5: Solve for x
   x = 84,177,200.38/10,557.71
6. Step 6: Final answer
   x = 7,973.05