Finding the Fourth Proportional to 13,674.16, 18,870.72 and 7,706.08

Step by Step Solution

1. Step 1: Write the proportion equation
   13,674.16 : 18,870.72 = 7,706.08 : x
2. Step 2: Convert to fraction form
   13,674.16/18,870.72 = 7,706.08/x
3. Step 3: Cross multiply
   13,674.16x = 18,870.72 × 7,706.08
4. Step 4: Simplify right side
   13,674.16x = 145,419,277.98
5. Step 5: Solve for x
   x = 145,419,277.98/13,674.16
6. Step 6: Final answer
   x = 10,634.60