Finding the Fourth Proportional to 3,114.72, 4,669.20 and 1,166.40

Step by Step Solution

1. Step 1: Write the proportion equation
   3,114.72 : 4,669.20 = 1,166.40 : x
2. Step 2: Convert to fraction form
   3,114.72/4,669.20 = 1,166.40/x
3. Step 3: Cross multiply
   3,114.72x = 4,669.20 × 1,166.40
4. Step 4: Simplify right side
   3,114.72x = 5,446,154.88
5. Step 5: Solve for x
   x = 5,446,154.88/3,114.72
6. Step 6: Final answer
   x = 1,748.52