Finding the Fourth Proportional to 1,146.26, 1,580.67 and 1,019.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.26 : 1,580.67 = 1,019.82 : x
2. Step 2: Convert to fraction form
   1,146.26/1,580.67 = 1,019.82/x
3. Step 3: Cross multiply
   1,146.26x = 1,580.67 × 1,019.82
4. Step 4: Simplify right side
   1,146.26x = 1,611,998.88
5. Step 5: Solve for x
   x = 1,611,998.88/1,146.26
6. Step 6: Final answer
   x = 1,406.31