Finding the Fourth Proportional to 12,946.43, 17,865.56 and 7,642.96

Step by Step Solution

1. Step 1: Write the proportion equation
   12,946.43 : 17,865.56 = 7,642.96 : x
2. Step 2: Convert to fraction form
   12,946.43/17,865.56 = 7,642.96/x
3. Step 3: Cross multiply
   12,946.43x = 17,865.56 × 7,642.96
4. Step 4: Simplify right side
   12,946.43x = 136,545,734.90
5. Step 5: Solve for x
   x = 136,545,734.90/12,946.43
6. Step 6: Final answer
   x = 10,546.98