Finding the Fourth Proportional to 10,645.22, 14,690.85 and 5,929.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,645.22 : 14,690.85 = 5,929.50 : x
2. Step 2: Convert to fraction form
   10,645.22/14,690.85 = 5,929.50/x
3. Step 3: Cross multiply
   10,645.22x = 14,690.85 × 5,929.50
4. Step 4: Simplify right side
   10,645.22x = 87,109,321.62
5. Step 5: Solve for x
   x = 87,109,321.62/10,645.22
6. Step 6: Final answer
   x = 8,182.96