Finding the Fourth Proportional to 1,000.67, 1,499.89 and 415.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,000.67 : 1,499.89 = 415.34 : x
2. Step 2: Convert to fraction form
   1,000.67/1,499.89 = 415.34/x
3. Step 3: Cross multiply
   1,000.67x = 1,499.89 × 415.34
4. Step 4: Simplify right side
   1,000.67x = 622,969.10
5. Step 5: Solve for x
   x = 622,969.10/1,000.67
6. Step 6: Final answer
   x = 622.55