Finding the Fourth Proportional to 12,133.14, 18,196.43 and 5,206.02

Step by Step Solution

1. Step 1: Write the proportion equation
   12,133.14 : 18,196.43 = 5,206.02 : x
2. Step 2: Convert to fraction form
   12,133.14/18,196.43 = 5,206.02/x
3. Step 3: Cross multiply
   12,133.14x = 18,196.43 × 5,206.02
4. Step 4: Simplify right side
   12,133.14x = 94,730,978.51
5. Step 5: Solve for x
   x = 94,730,978.51/12,133.14
6. Step 6: Final answer
   x = 7,807.62