Finding the Fourth Proportional to 1,406.16, 1,941.17 and 816.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.16 : 1,941.17 = 816.48 : x
2. Step 2: Convert to fraction form
   1,406.16/1,941.17 = 816.48/x
3. Step 3: Cross multiply
   1,406.16x = 1,941.17 × 816.48
4. Step 4: Simplify right side
   1,406.16x = 1,584,922.40
5. Step 5: Solve for x
   x = 1,584,922.40/1,406.16
6. Step 6: Final answer
   x = 1,127.13