Finding the Fourth Proportional to 13,967.56, 19,274.52 and 7,678.72

Step by Step Solution

1. Step 1: Write the proportion equation
   13,967.56 : 19,274.52 = 7,678.72 : x
2. Step 2: Convert to fraction form
   13,967.56/19,274.52 = 7,678.72/x
3. Step 3: Cross multiply
   13,967.56x = 19,274.52 × 7,678.72
4. Step 4: Simplify right side
   13,967.56x = 148,003,642.21
5. Step 5: Solve for x
   x = 148,003,642.21/13,967.56
6. Step 6: Final answer
   x = 10,596.24