Finding the Fourth Proportional to 9,677.02, 13,267.33 and 9,502.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.02 : 13,267.33 = 9,502.06 : x
2. Step 2: Convert to fraction form
   9,677.02/13,267.33 = 9,502.06/x
3. Step 3: Cross multiply
   9,677.02x = 13,267.33 × 9,502.06
4. Step 4: Simplify right side
   9,677.02x = 126,066,965.70
5. Step 5: Solve for x
   x = 126,066,965.70/9,677.02
6. Step 6: Final answer
   x = 13,027.46