Finding the Fourth Proportional to 1,011.14, 1,515.89 and 645.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,011.14 : 1,515.89 = 645.83 : x
2. Step 2: Convert to fraction form
   1,011.14/1,515.89 = 645.83/x
3. Step 3: Cross multiply
   1,011.14x = 1,515.89 × 645.83
4. Step 4: Simplify right side
   1,011.14x = 979,001.27
5. Step 5: Solve for x
   x = 979,001.27/1,011.14
6. Step 6: Final answer
   x = 968.22