Finding the Fourth Proportional to 1,150.52, 1,725.39 and 419.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.52 : 1,725.39 = 419.93 : x
2. Step 2: Convert to fraction form
   1,150.52/1,725.39 = 419.93/x
3. Step 3: Cross multiply
   1,150.52x = 1,725.39 × 419.93
4. Step 4: Simplify right side
   1,150.52x = 724,543.02
5. Step 5: Solve for x
   x = 724,543.02/1,150.52
6. Step 6: Final answer
   x = 629.75