Finding the Fourth Proportional to 1,406.76, 1,941.02 and 816.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.76 : 1,941.02 = 816.96 : x
2. Step 2: Convert to fraction form
   1,406.76/1,941.02 = 816.96/x
3. Step 3: Cross multiply
   1,406.76x = 1,941.02 × 816.96
4. Step 4: Simplify right side
   1,406.76x = 1,585,731.61
5. Step 5: Solve for x
   x = 1,585,731.61/1,406.76
6. Step 6: Final answer
   x = 1,127.22