Finding the Fourth Proportional to 1,077.27, 1,615.86 and 460.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077.27 : 1,615.86 = 460.53 : x
2. Step 2: Convert to fraction form
   1,077.27/1,615.86 = 460.53/x
3. Step 3: Cross multiply
   1,077.27x = 1,615.86 × 460.53
4. Step 4: Simplify right side
   1,077.27x = 744,152.01
5. Step 5: Solve for x
   x = 744,152.01/1,077.27
6. Step 6: Final answer
   x = 690.78