Finding the Fourth Proportional to 1,019.24, 1,404.10 and 841.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.24 : 1,404.10 = 841.45 : x
2. Step 2: Convert to fraction form
   1,019.24/1,404.10 = 841.45/x
3. Step 3: Cross multiply
   1,019.24x = 1,404.10 × 841.45
4. Step 4: Simplify right side
   1,019.24x = 1,181,479.95
5. Step 5: Solve for x
   x = 1,181,479.95/1,019.24
6. Step 6: Final answer
   x = 1,159.18