Finding the Fourth Proportional to 1,061.06, 1,464.34 and 588.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.06 : 1,464.34 = 588.98 : x
2. Step 2: Convert to fraction form
   1,061.06/1,464.34 = 588.98/x
3. Step 3: Cross multiply
   1,061.06x = 1,464.34 × 588.98
4. Step 4: Simplify right side
   1,061.06x = 862,466.97
5. Step 5: Solve for x
   x = 862,466.97/1,061.06
6. Step 6: Final answer
   x = 812.84