Finding the Fourth Proportional to 1,706.37, 2,558.79 and 782.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,706.37 : 2,558.79 = 782.23 : x
2. Step 2: Convert to fraction form
   1,706.37/2,558.79 = 782.23/x
3. Step 3: Cross multiply
   1,706.37x = 2,558.79 × 782.23
4. Step 4: Simplify right side
   1,706.37x = 2,001,562.30
5. Step 5: Solve for x
   x = 2,001,562.30/1,706.37
6. Step 6: Final answer
   x = 1,172.99