Finding the Fourth Proportional to 1,401.39, 1,933.38 and 842.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.39 : 1,933.38 = 842.00 : x
2. Step 2: Convert to fraction form
   1,401.39/1,933.38 = 842.00/x
3. Step 3: Cross multiply
   1,401.39x = 1,933.38 × 842.00
4. Step 4: Simplify right side
   1,401.39x = 1,627,896.29
5. Step 5: Solve for x
   x = 1,627,896.29/1,401.39
6. Step 6: Final answer
   x = 1,161.63