Finding the Fourth Proportional to 12,187.98, 18,256.46 and 7,783.02

Step by Step Solution

1. Step 1: Write the proportion equation
   12,187.98 : 18,256.46 = 7,783.02 : x
2. Step 2: Convert to fraction form
   12,187.98/18,256.46 = 7,783.02/x
3. Step 3: Cross multiply
   12,187.98x = 18,256.46 × 7,783.02
4. Step 4: Simplify right side
   12,187.98x = 142,090,354.39
5. Step 5: Solve for x
   x = 142,090,354.39/12,187.98
6. Step 6: Final answer
   x = 11,658.24