Finding the Fourth Proportional to 1,059.89, 1,463.16 and 706.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.89 : 1,463.16 = 706.41 : x
2. Step 2: Convert to fraction form
   1,059.89/1,463.16 = 706.41/x
3. Step 3: Cross multiply
   1,059.89x = 1,463.16 × 706.41
4. Step 4: Simplify right side
   1,059.89x = 1,033,590.86
5. Step 5: Solve for x
   x = 1,033,590.86/1,059.89
6. Step 6: Final answer
   x = 975.19