Finding the Fourth Proportional to 9,494.01, 13,089.50 and 7,786.23

Step by Step Solution

1. Step 1: Write the proportion equation
   9,494.01 : 13,089.50 = 7,786.23 : x
2. Step 2: Convert to fraction form
   9,494.01/13,089.50 = 7,786.23/x
3. Step 3: Cross multiply
   9,494.01x = 13,089.50 × 7,786.23
4. Step 4: Simplify right side
   9,494.01x = 101,917,798.77
5. Step 5: Solve for x
   x = 101,917,798.77/9,494.01
6. Step 6: Final answer
   x = 10,734.96