Finding the Fourth Proportional to 9,436.53, 13,022.87 and 5,659.91

Step by Step Solution

1. Step 1: Write the proportion equation
   9,436.53 : 13,022.87 = 5,659.91 : x
2. Step 2: Convert to fraction form
   9,436.53/13,022.87 = 5,659.91/x
3. Step 3: Cross multiply
   9,436.53x = 13,022.87 × 5,659.91
4. Step 4: Simplify right side
   9,436.53x = 73,708,178.73
5. Step 5: Solve for x
   x = 73,708,178.73/9,436.53
6. Step 6: Final answer
   x = 7,810.94