Finding the Fourth Proportional to 1,604.34, 2,406.89 and 782.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,604.34 : 2,406.89 = 782.42 : x
2. Step 2: Convert to fraction form
   1,604.34/2,406.89 = 782.42/x
3. Step 3: Cross multiply
   1,604.34x = 2,406.89 × 782.42
4. Step 4: Simplify right side
   1,604.34x = 1,883,198.87
5. Step 5: Solve for x
   x = 1,883,198.87/1,604.34
6. Step 6: Final answer
   x = 1,173.82