Finding the Fourth Proportional to 9,461.61, 13,057.61 and 5,269.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,461.61 : 13,057.61 = 5,269.86 : x
2. Step 2: Convert to fraction form
   9,461.61/13,057.61 = 5,269.86/x
3. Step 3: Cross multiply
   9,461.61x = 13,057.61 × 5,269.86
4. Step 4: Simplify right side
   9,461.61x = 68,811,750.29
5. Step 5: Solve for x
   x = 68,811,750.29/9,461.61
6. Step 6: Final answer
   x = 7,272.73