Finding the Fourth Proportional to 11,386.50, 17,082.63 and 3,178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,386.50 : 17,082.63 = 3,178.50 : x
2. Step 2: Convert to fraction form
   11,386.50/17,082.63 = 3,178.50/x
3. Step 3: Cross multiply
   11,386.50x = 17,082.63 × 3,178.50
4. Step 4: Simplify right side
   11,386.50x = 54,297,139.46
5. Step 5: Solve for x
   x = 54,297,139.46/11,386.50
6. Step 6: Final answer
   x = 4,768.55