Finding the Fourth Proportional to 10,705.86, 14,773.77 and 5,926.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,705.86 : 14,773.77 = 5,926.14 : x
2. Step 2: Convert to fraction form
   10,705.86/14,773.77 = 5,926.14/x
3. Step 3: Cross multiply
   10,705.86x = 14,773.77 × 5,926.14
4. Step 4: Simplify right side
   10,705.86x = 87,551,429.35
5. Step 5: Solve for x
   x = 87,551,429.35/10,705.86
6. Step 6: Final answer
   x = 8,177.90