Finding the Fourth Proportional to 1,065.42, 1,599.03 and 416.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065.42 : 1,599.03 = 416.61 : x
2. Step 2: Convert to fraction form
   1,065.42/1,599.03 = 416.61/x
3. Step 3: Cross multiply
   1,065.42x = 1,599.03 × 416.61
4. Step 4: Simplify right side
   1,065.42x = 666,171.89
5. Step 5: Solve for x
   x = 666,171.89/1,065.42
6. Step 6: Final answer
   x = 625.27