Finding the Fourth Proportional to 9,192.57, 12,685.35 and 5,213.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,192.57 : 12,685.35 = 5,213.82 : x
2. Step 2: Convert to fraction form
   9,192.57/12,685.35 = 5,213.82/x
3. Step 3: Cross multiply
   9,192.57x = 12,685.35 × 5,213.82
4. Step 4: Simplify right side
   9,192.57x = 66,139,131.54
5. Step 5: Solve for x
   x = 66,139,131.54/9,192.57
6. Step 6: Final answer
   x = 7,194.85