Finding the Fourth Proportional to 9,920.06, 13,688.16 and 5,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,920.06 : 13,688.16 = 5,727.50 : x
2. Step 2: Convert to fraction form
   9,920.06/13,688.16 = 5,727.50/x
3. Step 3: Cross multiply
   9,920.06x = 13,688.16 × 5,727.50
4. Step 4: Simplify right side
   9,920.06x = 78,398,936.40
5. Step 5: Solve for x
   x = 78,398,936.40/9,920.06
6. Step 6: Final answer
   x = 7,903.07