Finding the Fourth Proportional to 1,150.86, 1,725.93 and 457.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.86 : 1,725.93 = 457.34 : x
2. Step 2: Convert to fraction form
   1,150.86/1,725.93 = 457.34/x
3. Step 3: Cross multiply
   1,150.86x = 1,725.93 × 457.34
4. Step 4: Simplify right side
   1,150.86x = 789,328.20
5. Step 5: Solve for x
   x = 789,328.20/1,150.86
6. Step 6: Final answer
   x = 685.86