Finding the Fourth Proportional to 13,705.56, 18,914.16 and 7,738.29

Step by Step Solution

1. Step 1: Write the proportion equation
   13,705.56 : 18,914.16 = 7,738.29 : x
2. Step 2: Convert to fraction form
   13,705.56/18,914.16 = 7,738.29/x
3. Step 3: Cross multiply
   13,705.56x = 18,914.16 × 7,738.29
4. Step 4: Simplify right side
   13,705.56x = 146,363,255.19
5. Step 5: Solve for x
   x = 146,363,255.19/13,705.56
6. Step 6: Final answer
   x = 10,679.12