Finding the Fourth Proportional to 1,091.81, 1,636.37 and 506.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.81 : 1,636.37 = 506.01 : x
2. Step 2: Convert to fraction form
   1,091.81/1,636.37 = 506.01/x
3. Step 3: Cross multiply
   1,091.81x = 1,636.37 × 506.01
4. Step 4: Simplify right side
   1,091.81x = 828,019.58
5. Step 5: Solve for x
   x = 828,019.58/1,091.81
6. Step 6: Final answer
   x = 758.39