Finding the Fourth Proportional to 1,384.71, 2,077.29 and 645.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.71 : 2,077.29 = 645.06 : x
2. Step 2: Convert to fraction form
   1,384.71/2,077.29 = 645.06/x
3. Step 3: Cross multiply
   1,384.71x = 2,077.29 × 645.06
4. Step 4: Simplify right side
   1,384.71x = 1,339,976.69
5. Step 5: Solve for x
   x = 1,339,976.69/1,384.71
6. Step 6: Final answer
   x = 967.69