Finding the Fourth Proportional to 1,401.64, 1,933.64 and 841.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.64 : 1,933.64 = 841.78 : x
2. Step 2: Convert to fraction form
   1,401.64/1,933.64 = 841.78/x
3. Step 3: Cross multiply
   1,401.64x = 1,933.64 × 841.78
4. Step 4: Simplify right side
   1,401.64x = 1,627,701.03
5. Step 5: Solve for x
   x = 1,627,701.03/1,401.64
6. Step 6: Final answer
   x = 1,161.29