Finding the Fourth Proportional to 9,386.56, 14,082.82 and 5,878.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,386.56 : 14,082.82 = 5,878.82 : x
2. Step 2: Convert to fraction form
   9,386.56/14,082.82 = 5,878.82/x
3. Step 3: Cross multiply
   9,386.56x = 14,082.82 × 5,878.82
4. Step 4: Simplify right side
   9,386.56x = 82,790,363.87
5. Step 5: Solve for x
   x = 82,790,363.87/9,386.56
6. Step 6: Final answer
   x = 8,820.10