Finding the Fourth Proportional to 1,265.63, 1,746.59 and 706.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,265.63 : 1,746.59 = 706.10 : x
2. Step 2: Convert to fraction form
   1,265.63/1,746.59 = 706.10/x
3. Step 3: Cross multiply
   1,265.63x = 1,746.59 × 706.10
4. Step 4: Simplify right side
   1,265.63x = 1,233,254.94
5. Step 5: Solve for x
   x = 1,233,254.94/1,265.63
6. Step 6: Final answer
   x = 974.42