Finding the Fourth Proportional to 7,078.34, 10,557.78 and 6,146.57

Step by Step Solution

1. Step 1: Write the proportion equation
   7,078.34 : 10,557.78 = 6,146.57 : x
2. Step 2: Convert to fraction form
   7,078.34/10,557.78 = 6,146.57/x
3. Step 3: Cross multiply
   7,078.34x = 10,557.78 × 6,146.57
4. Step 4: Simplify right side
   7,078.34x = 64,894,081.03
5. Step 5: Solve for x
   x = 64,894,081.03/7,078.34
6. Step 6: Final answer
   x = 9,167.99