Finding the Fourth Proportional to 9,667.53, 13,351.74 and 7,785.36

Step by Step Solution

1. Step 1: Write the proportion equation
   9,667.53 : 13,351.74 = 7,785.36 : x
2. Step 2: Convert to fraction form
   9,667.53/13,351.74 = 7,785.36/x
3. Step 3: Cross multiply
   9,667.53x = 13,351.74 × 7,785.36
4. Step 4: Simplify right side
   9,667.53x = 103,948,102.53
5. Step 5: Solve for x
   x = 103,948,102.53/9,667.53
6. Step 6: Final answer
   x = 10,752.29