Finding the Fourth Proportional to 1,433.65, 1,977.59 and 844.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,433.65 : 1,977.59 = 844.06 : x
2. Step 2: Convert to fraction form
   1,433.65/1,977.59 = 844.06/x
3. Step 3: Cross multiply
   1,433.65x = 1,977.59 × 844.06
4. Step 4: Simplify right side
   1,433.65x = 1,669,200.40
5. Step 5: Solve for x
   x = 1,669,200.40/1,433.65
6. Step 6: Final answer
   x = 1,164.30