Finding the Fourth Proportional to 1,706.82, 2,561.23 and 719.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,706.82 : 2,561.23 = 719.58 : x
2. Step 2: Convert to fraction form
   1,706.82/2,561.23 = 719.58/x
3. Step 3: Cross multiply
   1,706.82x = 2,561.23 × 719.58
4. Step 4: Simplify right side
   1,706.82x = 1,843,001.18
5. Step 5: Solve for x
   x = 1,843,001.18/1,706.82
6. Step 6: Final answer
   x = 1,079.78