Finding the Fourth Proportional to 1,018.02, 1,525.98 and 401.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,018.02 : 1,525.98 = 401.60 : x
2. Step 2: Convert to fraction form
   1,018.02/1,525.98 = 401.60/x
3. Step 3: Cross multiply
   1,018.02x = 1,525.98 × 401.60
4. Step 4: Simplify right side
   1,018.02x = 612,833.57
5. Step 5: Solve for x
   x = 612,833.57/1,018.02
6. Step 6: Final answer
   x = 601.99