Finding the Fourth Proportional to 1,103.77, 1,523.37 and 684.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,103.77 : 1,523.37 = 684.19 : x
2. Step 2: Convert to fraction form
   1,103.77/1,523.37 = 684.19/x
3. Step 3: Cross multiply
   1,103.77x = 1,523.37 × 684.19
4. Step 4: Simplify right side
   1,103.77x = 1,042,274.52
5. Step 5: Solve for x
   x = 1,042,274.52/1,103.77
6. Step 6: Final answer
   x = 944.29