Finding the Fourth Proportional to 1,150.46, 1,725.83 and 457.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.46 : 1,725.83 = 457.10 : x
2. Step 2: Convert to fraction form
   1,150.46/1,725.83 = 457.10/x
3. Step 3: Cross multiply
   1,150.46x = 1,725.83 × 457.10
4. Step 4: Simplify right side
   1,150.46x = 788,865.98
5. Step 5: Solve for x
   x = 788,865.98/1,150.46
6. Step 6: Final answer
   x = 685.70