Finding the Fourth Proportional to 9,378.12, 12,941.82 and 5,186.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,378.12 : 12,941.82 = 5,186.28 : x
2. Step 2: Convert to fraction form
   9,378.12/12,941.82 = 5,186.28/x
3. Step 3: Cross multiply
   9,378.12x = 12,941.82 × 5,186.28
4. Step 4: Simplify right side
   9,378.12x = 67,119,902.23
5. Step 5: Solve for x
   x = 67,119,902.23/9,378.12
6. Step 6: Final answer
   x = 7,157.07