Finding the Fourth Proportional to 1,889.90, 2,606.78 and 1,142.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,889.90 : 2,606.78 = 1,142.57 : x
2. Step 2: Convert to fraction form
   1,889.90/2,606.78 = 1,142.57/x
3. Step 3: Cross multiply
   1,889.90x = 2,606.78 × 1,142.57
4. Step 4: Simplify right side
   1,889.90x = 2,978,409.88
5. Step 5: Solve for x
   x = 2,978,409.88/1,889.90
6. Step 6: Final answer
   x = 1,575.97