Finding the Fourth Proportional to 9,377.82, 12,941.24 and 5,186.07

Step by Step Solution

1. Step 1: Write the proportion equation
   9,377.82 : 12,941.24 = 5,186.07 : x
2. Step 2: Convert to fraction form
   9,377.82/12,941.24 = 5,186.07/x
3. Step 3: Cross multiply
   9,377.82x = 12,941.24 × 5,186.07
4. Step 4: Simplify right side
   9,377.82x = 67,114,150.60
5. Step 5: Solve for x
   x = 67,114,150.60/9,377.82
6. Step 6: Final answer
   x = 7,156.69