Finding the Fourth Proportional to 1,174.50, 1,758.76 and 705.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,174.50 : 1,758.76 = 705.69 : x
2. Step 2: Convert to fraction form
   1,174.50/1,758.76 = 705.69/x
3. Step 3: Cross multiply
   1,174.50x = 1,758.76 × 705.69
4. Step 4: Simplify right side
   1,174.50x = 1,241,139.34
5. Step 5: Solve for x
   x = 1,241,139.34/1,174.50
6. Step 6: Final answer
   x = 1,056.74