Finding the Fourth Proportional to 11,436.80, 15,778.15 and 7,186.46

Step by Step Solution

1. Step 1: Write the proportion equation
   11,436.80 : 15,778.15 = 7,186.46 : x
2. Step 2: Convert to fraction form
   11,436.80/15,778.15 = 7,186.46/x
3. Step 3: Cross multiply
   11,436.80x = 15,778.15 × 7,186.46
4. Step 4: Simplify right side
   11,436.80x = 113,389,065.33
5. Step 5: Solve for x
   x = 113,389,065.33/11,436.80
6. Step 6: Final answer
   x = 9,914.40