Finding the Fourth Proportional to 1,141.61, 1,574.72 and 842.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.61 : 1,574.72 = 842.55 : x
2. Step 2: Convert to fraction form
   1,141.61/1,574.72 = 842.55/x
3. Step 3: Cross multiply
   1,141.61x = 1,574.72 × 842.55
4. Step 4: Simplify right side
   1,141.61x = 1,326,780.34
5. Step 5: Solve for x
   x = 1,326,780.34/1,141.61
6. Step 6: Final answer
   x = 1,162.20