Finding the Fourth Proportional to 1,055.05, 1,582.72 and 506.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.05 : 1,582.72 = 506.78 : x
2. Step 2: Convert to fraction form
   1,055.05/1,582.72 = 506.78/x
3. Step 3: Cross multiply
   1,055.05x = 1,582.72 × 506.78
4. Step 4: Simplify right side
   1,055.05x = 802,090.84
5. Step 5: Solve for x
   x = 802,090.84/1,055.05
6. Step 6: Final answer
   x = 760.24