Finding the Fourth Proportional to 10,606.76, 14,636.46 and 5,826.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,606.76 : 14,636.46 = 5,826.59 : x
2. Step 2: Convert to fraction form
   10,606.76/14,636.46 = 5,826.59/x
3. Step 3: Cross multiply
   10,606.76x = 14,636.46 × 5,826.59
4. Step 4: Simplify right side
   10,606.76x = 85,280,640.74
5. Step 5: Solve for x
   x = 85,280,640.74/10,606.76
6. Step 6: Final answer
   x = 8,040.22