Finding the Fourth Proportional to 9,686.16, 13,366.41 and 5,436.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,686.16 : 13,366.41 = 5,436.69 : x
2. Step 2: Convert to fraction form
   9,686.16/13,366.41 = 5,436.69/x
3. Step 3: Cross multiply
   9,686.16x = 13,366.41 × 5,436.69
4. Step 4: Simplify right side
   9,686.16x = 72,669,027.58
5. Step 5: Solve for x
   x = 72,669,027.58/9,686.16
6. Step 6: Final answer
   x = 7,502.36