Finding the Fourth Proportional to 9,386.70, 12,952.71 and 5,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,386.70 : 12,952.71 = 5,194.50 : x
2. Step 2: Convert to fraction form
   9,386.70/12,952.71 = 5,194.50/x
3. Step 3: Cross multiply
   9,386.70x = 12,952.71 × 5,194.50
4. Step 4: Simplify right side
   9,386.70x = 67,282,852.10
5. Step 5: Solve for x
   x = 67,282,852.10/9,386.70
6. Step 6: Final answer
   x = 7,167.89