Finding the Fourth Proportional to 9,685.64, 13,365.08 and 5,436.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,685.64 : 13,365.08 = 5,436.12 : x
2. Step 2: Convert to fraction form
   9,685.64/13,365.08 = 5,436.12/x
3. Step 3: Cross multiply
   9,685.64x = 13,365.08 × 5,436.12
4. Step 4: Simplify right side
   9,685.64x = 72,654,178.69
5. Step 5: Solve for x
   x = 72,654,178.69/9,685.64
6. Step 6: Final answer
   x = 7,501.23