Finding the Fourth Proportional to 1,406.41, 1,941.50 and 816.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.41 : 1,941.50 = 816.84 : x
2. Step 2: Convert to fraction form
   1,406.41/1,941.50 = 816.84/x
3. Step 3: Cross multiply
   1,406.41x = 1,941.50 × 816.84
4. Step 4: Simplify right side
   1,406.41x = 1,585,894.86
5. Step 5: Solve for x
   x = 1,585,894.86/1,406.41
6. Step 6: Final answer
   x = 1,127.62