Finding the Fourth Proportional to 10,497.42, 14,485.92 and 5,780.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,497.42 : 14,485.92 = 5,780.82 : x
2. Step 2: Convert to fraction form
   10,497.42/14,485.92 = 5,780.82/x
3. Step 3: Cross multiply
   10,497.42x = 14,485.92 × 5,780.82
4. Step 4: Simplify right side
   10,497.42x = 83,740,496.05
5. Step 5: Solve for x
   x = 83,740,496.05/10,497.42
6. Step 6: Final answer
   x = 7,977.25