Finding the Fourth Proportional to 10,604.96, 14,635.01 and 5,824.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,604.96 : 14,635.01 = 5,824.77 : x
2. Step 2: Convert to fraction form
   10,604.96/14,635.01 = 5,824.77/x
3. Step 3: Cross multiply
   10,604.96x = 14,635.01 × 5,824.77
4. Step 4: Simplify right side
   10,604.96x = 85,245,581.76
5. Step 5: Solve for x
   x = 85,245,581.76/10,604.96
6. Step 6: Final answer
   x = 8,038.27