Finding the Fourth Proportional to 10,693.62, 14,757.39 and 5,977.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,693.62 : 14,757.39 = 5,977.80 : x
2. Step 2: Convert to fraction form
   10,693.62/14,757.39 = 5,977.80/x
3. Step 3: Cross multiply
   10,693.62x = 14,757.39 × 5,977.80
4. Step 4: Simplify right side
   10,693.62x = 88,216,725.94
5. Step 5: Solve for x
   x = 88,216,725.94/10,693.62
6. Step 6: Final answer
   x = 8,249.47