Finding the Fourth Proportional to 10,705.27, 16,064.76 and 5,778.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,705.27 : 16,064.76 = 5,778.34 : x
2. Step 2: Convert to fraction form
   10,705.27/16,064.76 = 5,778.34/x
3. Step 3: Cross multiply
   10,705.27x = 16,064.76 × 5,778.34
4. Step 4: Simplify right side
   10,705.27x = 92,827,645.30
5. Step 5: Solve for x
   x = 92,827,645.30/10,705.27
6. Step 6: Final answer
   x = 8,671.21