Finding the Fourth Proportional to 12,364.43, 18,541.64 and 7,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,364.43 : 18,541.64 = 7,677.50 : x
2. Step 2: Convert to fraction form
   12,364.43/18,541.64 = 7,677.50/x
3. Step 3: Cross multiply
   12,364.43x = 18,541.64 × 7,677.50
4. Step 4: Simplify right side
   12,364.43x = 142,353,367.59
5. Step 5: Solve for x
   x = 142,353,367.59/12,364.43
6. Step 6: Final answer
   x = 11,513.14