Finding the Fourth Proportional to 1,059.50, 1,462.14 and 704.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.50 : 1,462.14 = 704.78 : x
2. Step 2: Convert to fraction form
   1,059.50/1,462.14 = 704.78/x
3. Step 3: Cross multiply
   1,059.50x = 1,462.14 × 704.78
4. Step 4: Simplify right side
   1,059.50x = 1,030,487.03
5. Step 5: Solve for x
   x = 1,030,487.03/1,059.50
6. Step 6: Final answer
   x = 972.62