Finding the Fourth Proportional to 1,164.90, 1,604.43 and 1,077.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.90 : 1,604.43 = 1,077.31 : x
2. Step 2: Convert to fraction form
   1,164.90/1,604.43 = 1,077.31/x
3. Step 3: Cross multiply
   1,164.90x = 1,604.43 × 1,077.31
4. Step 4: Simplify right side
   1,164.90x = 1,728,468.48
5. Step 5: Solve for x
   x = 1,728,468.48/1,164.90
6. Step 6: Final answer
   x = 1,483.79