Finding the Fourth Proportional to 1,265.31, 1,746.06 and 705.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,265.31 : 1,746.06 = 705.82 : x
2. Step 2: Convert to fraction form
   1,265.31/1,746.06 = 705.82/x
3. Step 3: Cross multiply
   1,265.31x = 1,746.06 × 705.82
4. Step 4: Simplify right side
   1,265.31x = 1,232,406.25
5. Step 5: Solve for x
   x = 1,232,406.25/1,265.31
6. Step 6: Final answer
   x = 973.99