Finding the Fourth Proportional to 1,182.67, 1,632.59 and 842.21

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.67 : 1,632.59 = 842.21 : x
2. Step 2: Convert to fraction form
   1,182.67/1,632.59 = 842.21/x
3. Step 3: Cross multiply
   1,182.67x = 1,632.59 × 842.21
4. Step 4: Simplify right side
   1,182.67x = 1,374,980.53
5. Step 5: Solve for x
   x = 1,374,980.53/1,182.67
6. Step 6: Final answer
   x = 1,162.61