Finding the Fourth Proportional to 2,152.14, 2,969.10 and 1,266.54

Step by Step Solution

1. Step 1: Write the proportion equation
   2,152.14 : 2,969.10 = 1,266.54 : x
2. Step 2: Convert to fraction form
   2,152.14/2,969.10 = 1,266.54/x
3. Step 3: Cross multiply
   2,152.14x = 2,969.10 × 1,266.54
4. Step 4: Simplify right side
   2,152.14x = 3,760,483.91
5. Step 5: Solve for x
   x = 3,760,483.91/2,152.14
6. Step 6: Final answer
   x = 1,747.32