Finding the Fourth Proportional to 10,456.53, 14,426.47 and 5,977.11

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.53 : 14,426.47 = 5,977.11 : x
2. Step 2: Convert to fraction form
   10,456.53/14,426.47 = 5,977.11/x
3. Step 3: Cross multiply
   10,456.53x = 14,426.47 × 5,977.11
4. Step 4: Simplify right side
   10,456.53x = 86,228,578.52
5. Step 5: Solve for x
   x = 86,228,578.52/10,456.53
6. Step 6: Final answer
   x = 8,246.39