Finding the Fourth Proportional to 1,690.41, 2,533.89 and 1,142.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,690.41 : 2,533.89 = 1,142.65 : x
2. Step 2: Convert to fraction form
   1,690.41/2,533.89 = 1,142.65/x
3. Step 3: Cross multiply
   1,690.41x = 2,533.89 × 1,142.65
4. Step 4: Simplify right side
   1,690.41x = 2,895,352.27
5. Step 5: Solve for x
   x = 2,895,352.27/1,690.41
6. Step 6: Final answer
   x = 1,712.81