Finding the Fourth Proportional to 9,377.34, 12,940.56 and 5,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,377.34 : 12,940.56 = 5,185.50 : x
2. Step 2: Convert to fraction form
   9,377.34/12,940.56 = 5,185.50/x
3. Step 3: Cross multiply
   9,377.34x = 12,940.56 × 5,185.50
4. Step 4: Simplify right side
   9,377.34x = 67,103,273.88
5. Step 5: Solve for x
   x = 67,103,273.88/9,377.34
6. Step 6: Final answer
   x = 7,155.90