Finding the Fourth Proportional to 9,706.58, 13,384.57 and 7,463.51

Step by Step Solution

1. Step 1: Write the proportion equation
   9,706.58 : 13,384.57 = 7,463.51 : x
2. Step 2: Convert to fraction form
   9,706.58/13,384.57 = 7,463.51/x
3. Step 3: Cross multiply
   9,706.58x = 13,384.57 × 7,463.51
4. Step 4: Simplify right side
   9,706.58x = 99,895,872.04
5. Step 5: Solve for x
   x = 99,895,872.04/9,706.58
6. Step 6: Final answer
   x = 10,291.56