Finding the Fourth Proportional to 8,829.83, 12,186.50 and 5,293.64

Step by Step Solution

1. Step 1: Write the proportion equation
   8,829.83 : 12,186.50 = 5,293.64 : x
2. Step 2: Convert to fraction form
   8,829.83/12,186.50 = 5,293.64/x
3. Step 3: Cross multiply
   8,829.83x = 12,186.50 × 5,293.64
4. Step 4: Simplify right side
   8,829.83x = 64,510,856.46
5. Step 5: Solve for x
   x = 64,510,856.46/8,829.83
6. Step 6: Final answer
   x = 7,306.02