Finding the Fourth Proportional to 1,265.59, 1,746.53 and 706.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,265.59 : 1,746.53 = 706.05 : x
2. Step 2: Convert to fraction form
   1,265.59/1,746.53 = 706.05/x
3. Step 3: Cross multiply
   1,265.59x = 1,746.53 × 706.05
4. Step 4: Simplify right side
   1,265.59x = 1,233,136.62
5. Step 5: Solve for x
   x = 1,233,136.62/1,265.59
6. Step 6: Final answer
   x = 974.36