Finding the Fourth Proportional to 14,233.63, 19,642.43 and 7,946

Step by Step Solution

1. Step 1: Write the proportion equation
   14,233.63 : 19,642.43 = 7,946 : x
2. Step 2: Convert to fraction form
   14,233.63/19,642.43 = 7,946/x
3. Step 3: Cross multiply
   14,233.63x = 19,642.43 × 7,946
4. Step 4: Simplify right side
   14,233.63x = 156,078,748.78
5. Step 5: Solve for x
   x = 156,078,748.78/14,233.63
6. Step 6: Final answer
   x = 10,965.49