Finding the Fourth Proportional to 1,164.58, 1,614.05 and 1,142.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.58 : 1,614.05 = 1,142.71 : x
2. Step 2: Convert to fraction form
   1,164.58/1,614.05 = 1,142.71/x
3. Step 3: Cross multiply
   1,164.58x = 1,614.05 × 1,142.71
4. Step 4: Simplify right side
   1,164.58x = 1,844,394.69
5. Step 5: Solve for x
   x = 1,844,394.69/1,164.58
6. Step 6: Final answer
   x = 1,583.74