Finding the Fourth Proportional to 10,705.50, 16,064.73 and 4,549.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,705.50 : 16,064.73 = 4,549.50 : x
2. Step 2: Convert to fraction form
   10,705.50/16,064.73 = 4,549.50/x
3. Step 3: Cross multiply
   10,705.50x = 16,064.73 × 4,549.50
4. Step 4: Simplify right side
   10,705.50x = 73,086,489.14
5. Step 5: Solve for x
   x = 73,086,489.14/10,705.50
6. Step 6: Final answer
   x = 6,827.00