Finding the Fourth Proportional to 1,365.86, 1,885.07 and 842.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.86 : 1,885.07 = 842.00 : x
2. Step 2: Convert to fraction form
   1,365.86/1,885.07 = 842.00/x
3. Step 3: Cross multiply
   1,365.86x = 1,885.07 × 842.00
4. Step 4: Simplify right side
   1,365.86x = 1,587,221.62
5. Step 5: Solve for x
   x = 1,587,221.62/1,365.86
6. Step 6: Final answer
   x = 1,162.07