Finding the Fourth Proportional to 1,019.82, 1,407.24 and 627.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.82 : 1,407.24 = 627.06 : x
2. Step 2: Convert to fraction form
   1,019.82/1,407.24 = 627.06/x
3. Step 3: Cross multiply
   1,019.82x = 1,407.24 × 627.06
4. Step 4: Simplify right side
   1,019.82x = 882,423.91
5. Step 5: Solve for x
   x = 882,423.91/1,019.82
6. Step 6: Final answer
   x = 865.27