Finding the Fourth Proportional to 9,596.09, 13,236.89 and 7,077.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,596.09 : 13,236.89 = 7,077.40 : x
2. Step 2: Convert to fraction form
   9,596.09/13,236.89 = 7,077.40/x
3. Step 3: Cross multiply
   9,596.09x = 13,236.89 × 7,077.40
4. Step 4: Simplify right side
   9,596.09x = 93,682,696.81
5. Step 5: Solve for x
   x = 93,682,696.81/9,596.09
6. Step 6: Final answer
   x = 9,762.59