Finding the Fourth Proportional to 9,685.68, 13,366.06 and 5,436.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,685.68 : 13,366.06 = 5,436.75 : x
2. Step 2: Convert to fraction form
   9,685.68/13,366.06 = 5,436.75/x
3. Step 3: Cross multiply
   9,685.68x = 13,366.06 × 5,436.75
4. Step 4: Simplify right side
   9,685.68x = 72,667,881.04
5. Step 5: Solve for x
   x = 72,667,881.04/9,685.68
6. Step 6: Final answer
   x = 7,502.61