Finding the Fourth Proportional to 1,606.52, 2,408.04 and 782.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,606.52 : 2,408.04 = 782.96 : x
2. Step 2: Convert to fraction form
   1,606.52/2,408.04 = 782.96/x
3. Step 3: Cross multiply
   1,606.52x = 2,408.04 × 782.96
4. Step 4: Simplify right side
   1,606.52x = 1,885,399.00
5. Step 5: Solve for x
   x = 1,885,399.00/1,606.52
6. Step 6: Final answer
   x = 1,173.59