Finding the Fourth Proportional to 1,262.50, 1,742.49 and 710.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,262.50 : 1,742.49 = 710.50 : x
2. Step 2: Convert to fraction form
   1,262.50/1,742.49 = 710.50/x
3. Step 3: Cross multiply
   1,262.50x = 1,742.49 × 710.50
4. Step 4: Simplify right side
   1,262.50x = 1,238,039.15
5. Step 5: Solve for x
   x = 1,238,039.15/1,262.50
6. Step 6: Final answer
   x = 980.63