Finding the Fourth Proportional to 1,071.16, 1,607.46 and 421.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,071.16 : 1,607.46 = 421.82 : x
2. Step 2: Convert to fraction form
   1,071.16/1,607.46 = 421.82/x
3. Step 3: Cross multiply
   1,071.16x = 1,607.46 × 421.82
4. Step 4: Simplify right side
   1,071.16x = 678,058.78
5. Step 5: Solve for x
   x = 678,058.78/1,071.16
6. Step 6: Final answer
   x = 633.01