Finding the Fourth Proportional to 10,310.77, 14,226.69 and 5,835.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,310.77 : 14,226.69 = 5,835.61 : x
2. Step 2: Convert to fraction form
   10,310.77/14,226.69 = 5,835.61/x
3. Step 3: Cross multiply
   10,310.77x = 14,226.69 × 5,835.61
4. Step 4: Simplify right side
   10,310.77x = 83,021,378.86
5. Step 5: Solve for x
   x = 83,021,378.86/10,310.77
6. Step 6: Final answer
   x = 8,051.91