Finding the Fourth Proportional to 9,686.01, 13,366.10 and 5,436.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,686.01 : 13,366.10 = 5,436.35 : x
2. Step 2: Convert to fraction form
   9,686.01/13,366.10 = 5,436.35/x
3. Step 3: Cross multiply
   9,686.01x = 13,366.10 × 5,436.35
4. Step 4: Simplify right side
   9,686.01x = 72,662,744.50
5. Step 5: Solve for x
   x = 72,662,744.50/9,686.01
6. Step 6: Final answer
   x = 7,501.82