Finding the Fourth Proportional to 13,968.42, 19,276.71 and 7,680.78

Step by Step Solution

1. Step 1: Write the proportion equation
   13,968.42 : 19,276.71 = 7,680.78 : x
2. Step 2: Convert to fraction form
   13,968.42/19,276.71 = 7,680.78/x
3. Step 3: Cross multiply
   13,968.42x = 19,276.71 × 7,680.78
4. Step 4: Simplify right side
   13,968.42x = 148,060,168.63
5. Step 5: Solve for x
   x = 148,060,168.63/13,968.42
6. Step 6: Final answer
   x = 10,599.64