Finding the Fourth Proportional to 10,496.52, 14,485.18 and 5,780.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496.52 : 14,485.18 = 5,780.80 : x
2. Step 2: Convert to fraction form
   10,496.52/14,485.18 = 5,780.80/x
3. Step 3: Cross multiply
   10,496.52x = 14,485.18 × 5,780.80
4. Step 4: Simplify right side
   10,496.52x = 83,735,928.54
5. Step 5: Solve for x
   x = 83,735,928.54/10,496.52
6. Step 6: Final answer
   x = 7,977.49