Finding the Fourth Proportional to 13,674.30, 18,870.63 and 7,705.74

Step by Step Solution

1. Step 1: Write the proportion equation
   13,674.30 : 18,870.63 = 7,705.74 : x
2. Step 2: Convert to fraction form
   13,674.30/18,870.63 = 7,705.74/x
3. Step 3: Cross multiply
   13,674.30x = 18,870.63 × 7,705.74
4. Step 4: Simplify right side
   13,674.30x = 145,412,168.42
5. Step 5: Solve for x
   x = 145,412,168.42/13,674.30
6. Step 6: Final answer
   x = 10,633.98