Finding the Fourth Proportional to 1,037.94, 1,431.61 and 705.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,037.94 : 1,431.61 = 705.78 : x
2. Step 2: Convert to fraction form
   1,037.94/1,431.61 = 705.78/x
3. Step 3: Cross multiply
   1,037.94x = 1,431.61 × 705.78
4. Step 4: Simplify right side
   1,037.94x = 1,010,391.02
5. Step 5: Solve for x
   x = 1,010,391.02/1,037.94
6. Step 6: Final answer
   x = 973.46