Finding the Fourth Proportional to 11,633.68, 17,443.23 and 7,680.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,633.68 : 17,443.23 = 7,680.75 : x
2. Step 2: Convert to fraction form
   11,633.68/17,443.23 = 7,680.75/x
3. Step 3: Cross multiply
   11,633.68x = 17,443.23 × 7,680.75
4. Step 4: Simplify right side
   11,633.68x = 133,977,088.82
5. Step 5: Solve for x
   x = 133,977,088.82/11,633.68
6. Step 6: Final answer
   x = 11,516.31