Finding the Fourth Proportional to 1,021.98, 1,410.33 and 556.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,021.98 : 1,410.33 = 556.23 : x
2. Step 2: Convert to fraction form
   1,021.98/1,410.33 = 556.23/x
3. Step 3: Cross multiply
   1,021.98x = 1,410.33 × 556.23
4. Step 4: Simplify right side
   1,021.98x = 784,467.86
5. Step 5: Solve for x
   x = 784,467.86/1,021.98
6. Step 6: Final answer
   x = 767.60