Finding the Fourth Proportional to 9,269.64, 12,789.90 and 5,635.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,269.64 : 12,789.90 = 5,635.58 : x
2. Step 2: Convert to fraction form
   9,269.64/12,789.90 = 5,635.58/x
3. Step 3: Cross multiply
   9,269.64x = 12,789.90 × 5,635.58
4. Step 4: Simplify right side
   9,269.64x = 72,078,440.69
5. Step 5: Solve for x
   x = 72,078,440.69/9,269.64
6. Step 6: Final answer
   x = 7,775.75