Finding the Fourth Proportional to 10,188.38, 14,055.50 and 7,206.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,188.38 : 14,055.50 = 7,206.77 : x
2. Step 2: Convert to fraction form
   10,188.38/14,055.50 = 7,206.77/x
3. Step 3: Cross multiply
   10,188.38x = 14,055.50 × 7,206.77
4. Step 4: Simplify right side
   10,188.38x = 101,294,703.47
5. Step 5: Solve for x
   x = 101,294,703.47/10,188.38
6. Step 6: Final answer
   x = 9,942.18