Finding the Fourth Proportional to 1,401.64, 1,933.77 and 811.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.64 : 1,933.77 = 811.76 : x
2. Step 2: Convert to fraction form
   1,401.64/1,933.77 = 811.76/x
3. Step 3: Cross multiply
   1,401.64x = 1,933.77 × 811.76
4. Step 4: Simplify right side
   1,401.64x = 1,569,750.51
5. Step 5: Solve for x
   x = 1,569,750.51/1,401.64
6. Step 6: Final answer
   x = 1,119.94