Finding the Fourth Proportional to 1,300.20, 1,949.94 and 641.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.20 : 1,949.94 = 641.76 : x
2. Step 2: Convert to fraction form
   1,300.20/1,949.94 = 641.76/x
3. Step 3: Cross multiply
   1,300.20x = 1,949.94 × 641.76
4. Step 4: Simplify right side
   1,300.20x = 1,251,393.49
5. Step 5: Solve for x
   x = 1,251,393.49/1,300.20
6. Step 6: Final answer
   x = 962.46