Finding the Fourth Proportional to 10,496.59, 14,485.03 and 5,780.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496.59 : 14,485.03 = 5,780.77 : x
2. Step 2: Convert to fraction form
   10,496.59/14,485.03 = 5,780.77/x
3. Step 3: Cross multiply
   10,496.59x = 14,485.03 × 5,780.77
4. Step 4: Simplify right side
   10,496.59x = 83,734,576.21
5. Step 5: Solve for x
   x = 83,734,576.21/10,496.59
6. Step 6: Final answer
   x = 7,977.31