Finding the Fourth Proportional to 1,300.47, 1,949.63 and 478.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.47 : 1,949.63 = 478.22 : x
2. Step 2: Convert to fraction form
   1,300.47/1,949.63 = 478.22/x
3. Step 3: Cross multiply
   1,300.47x = 1,949.63 × 478.22
4. Step 4: Simplify right side
   1,300.47x = 932,339.92
5. Step 5: Solve for x
   x = 932,339.92/1,300.47
6. Step 6: Final answer
   x = 716.93