Finding the Fourth Proportional to 2,071.56, 3,107.72 and 684.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,071.56 : 3,107.72 = 684.98 : x
2. Step 2: Convert to fraction form
   2,071.56/3,107.72 = 684.98/x
3. Step 3: Cross multiply
   2,071.56x = 3,107.72 × 684.98
4. Step 4: Simplify right side
   2,071.56x = 2,128,726.05
5. Step 5: Solve for x
   x = 2,128,726.05/2,071.56
6. Step 6: Final answer
   x = 1,027.60