Finding the Fourth Proportional to 1,059.78, 1,460.20 and 709.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.78 : 1,460.20 = 709.86 : x
2. Step 2: Convert to fraction form
   1,059.78/1,460.20 = 709.86/x
3. Step 3: Cross multiply
   1,059.78x = 1,460.20 × 709.86
4. Step 4: Simplify right side
   1,059.78x = 1,036,537.57
5. Step 5: Solve for x
   x = 1,036,537.57/1,059.78
6. Step 6: Final answer
   x = 978.07