Finding the Fourth Proportional to 10,645.32, 14,690.79 and 5,929.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,645.32 : 14,690.79 = 5,929.50 : x
2. Step 2: Convert to fraction form
   10,645.32/14,690.79 = 5,929.50/x
3. Step 3: Cross multiply
   10,645.32x = 14,690.79 × 5,929.50
4. Step 4: Simplify right side
   10,645.32x = 87,109,039.31
5. Step 5: Solve for x
   x = 87,109,039.31/10,645.32
6. Step 6: Final answer
   x = 8,182.85