Finding the Fourth Proportional to 9,196.18, 12,690.58 and 5,659.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,196.18 : 12,690.58 = 5,659.30 : x
2. Step 2: Convert to fraction form
   9,196.18/12,690.58 = 5,659.30/x
3. Step 3: Cross multiply
   9,196.18x = 12,690.58 × 5,659.30
4. Step 4: Simplify right side
   9,196.18x = 71,819,799.39
5. Step 5: Solve for x
   x = 71,819,799.39/9,196.18
6. Step 6: Final answer
   x = 7,809.74