Finding the Fourth Proportional to 1,648.72, 2,274.96 and 1,059.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.72 : 2,274.96 = 1,059.14 : x
2. Step 2: Convert to fraction form
   1,648.72/2,274.96 = 1,059.14/x
3. Step 3: Cross multiply
   1,648.72x = 2,274.96 × 1,059.14
4. Step 4: Simplify right side
   1,648.72x = 2,409,501.13
5. Step 5: Solve for x
   x = 2,409,501.13/1,648.72
6. Step 6: Final answer
   x = 1,461.44