Finding the Fourth Proportional to 9,385.90, 12,951.94 and 5,194.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,385.90 : 12,951.94 = 5,194.14 : x
2. Step 2: Convert to fraction form
   9,385.90/12,951.94 = 5,194.14/x
3. Step 3: Cross multiply
   9,385.90x = 12,951.94 × 5,194.14
4. Step 4: Simplify right side
   9,385.90x = 67,274,189.63
5. Step 5: Solve for x
   x = 67,274,189.63/9,385.90
6. Step 6: Final answer
   x = 7,167.58