Finding the Fourth Proportional to 2,345.25, 3,517.50 and 785.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,345.25 : 3,517.50 = 785.25 : x
2. Step 2: Convert to fraction form
   2,345.25/3,517.50 = 785.25/x
3. Step 3: Cross multiply
   2,345.25x = 3,517.50 × 785.25
4. Step 4: Simplify right side
   2,345.25x = 2,762,116.88
5. Step 5: Solve for x
   x = 2,762,116.88/2,345.25
6. Step 6: Final answer
   x = 1,177.75