Finding the Fourth Proportional to 1,257.06, 1,734.72 and 697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,257.06 : 1,734.72 = 697.50 : x
2. Step 2: Convert to fraction form
   1,257.06/1,734.72 = 697.50/x
3. Step 3: Cross multiply
   1,257.06x = 1,734.72 × 697.50
4. Step 4: Simplify right side
   1,257.06x = 1,209,967.20
5. Step 5: Solve for x
   x = 1,209,967.20/1,257.06
6. Step 6: Final answer
   x = 962.54