Finding the Fourth Proportional to 1,035.87, 1,552.72 and 419.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,035.87 : 1,552.72 = 419.32 : x
2. Step 2: Convert to fraction form
   1,035.87/1,552.72 = 419.32/x
3. Step 3: Cross multiply
   1,035.87x = 1,552.72 × 419.32
4. Step 4: Simplify right side
   1,035.87x = 651,086.55
5. Step 5: Solve for x
   x = 651,086.55/1,035.87
6. Step 6: Final answer
   x = 628.54