Finding the Fourth Proportional to 1,754.52, 2,631.72 and 456

Step by Step Solution

1. Step 1: Write the proportion equation
   1,754.52 : 2,631.72 = 456 : x
2. Step 2: Convert to fraction form
   1,754.52/2,631.72 = 456/x
3. Step 3: Cross multiply
   1,754.52x = 2,631.72 × 456
4. Step 4: Simplify right side
   1,754.52x = 1,200,064.32
5. Step 5: Solve for x
   x = 1,200,064.32/1,754.52
6. Step 6: Final answer
   x = 683.98