Finding the Fourth Proportional to 1,176.81, 1,624.04 and 704.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,176.81 : 1,624.04 = 704.78 : x
2. Step 2: Convert to fraction form
   1,176.81/1,624.04 = 704.78/x
3. Step 3: Cross multiply
   1,176.81x = 1,624.04 × 704.78
4. Step 4: Simplify right side
   1,176.81x = 1,144,601.10
5. Step 5: Solve for x
   x = 1,144,601.10/1,176.81
6. Step 6: Final answer
   x = 972.63