Finding the Fourth Proportional to 1,014.64, 1,520.56 and 580.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,014.64 : 1,520.56 = 580.88 : x
2. Step 2: Convert to fraction form
   1,014.64/1,520.56 = 580.88/x
3. Step 3: Cross multiply
   1,014.64x = 1,520.56 × 580.88
4. Step 4: Simplify right side
   1,014.64x = 883,262.89
5. Step 5: Solve for x
   x = 883,262.89/1,014.64
6. Step 6: Final answer
   x = 870.52