Finding the Fourth Proportional to 2,658.34, 3,986.16 and 1,176.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,658.34 : 3,986.16 = 1,176.76 : x
2. Step 2: Convert to fraction form
   2,658.34/3,986.16 = 1,176.76/x
3. Step 3: Cross multiply
   2,658.34x = 3,986.16 × 1,176.76
4. Step 4: Simplify right side
   2,658.34x = 4,690,753.64
5. Step 5: Solve for x
   x = 4,690,753.64/2,658.34
6. Step 6: Final answer
   x = 1,764.54