Finding the Fourth Proportional to 1,021.82, 1,410.12 and 556.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,021.82 : 1,410.12 = 556.06 : x
2. Step 2: Convert to fraction form
   1,021.82/1,410.12 = 556.06/x
3. Step 3: Cross multiply
   1,021.82x = 1,410.12 × 556.06
4. Step 4: Simplify right side
   1,021.82x = 784,111.33
5. Step 5: Solve for x
   x = 784,111.33/1,021.82
6. Step 6: Final answer
   x = 767.37