Finding the Fourth Proportional to 12,882.50, 17,775.81 and 7,505.82

Step by Step Solution

1. Step 1: Write the proportion equation
   12,882.50 : 17,775.81 = 7,505.82 : x
2. Step 2: Convert to fraction form
   12,882.50/17,775.81 = 7,505.82/x
3. Step 3: Cross multiply
   12,882.50x = 17,775.81 × 7,505.82
4. Step 4: Simplify right side
   12,882.50x = 133,422,030.21
5. Step 5: Solve for x
   x = 133,422,030.21/12,882.50
6. Step 6: Final answer
   x = 10,356.84