Finding the Fourth Proportional to 9,977.02, 13,766.07 and 5,727.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,977.02 : 13,766.07 = 5,727.82 : x
2. Step 2: Convert to fraction form
   9,977.02/13,766.07 = 5,727.82/x
3. Step 3: Cross multiply
   9,977.02x = 13,766.07 × 5,727.82
4. Step 4: Simplify right side
   9,977.02x = 78,849,571.07
5. Step 5: Solve for x
   x = 78,849,571.07/9,977.02
6. Step 6: Final answer
   x = 7,903.12