Finding the Fourth Proportional to 1,298.45, 1,946.50 and 476.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.45 : 1,946.50 = 476.15 : x
2. Step 2: Convert to fraction form
   1,298.45/1,946.50 = 476.15/x
3. Step 3: Cross multiply
   1,298.45x = 1,946.50 × 476.15
4. Step 4: Simplify right side
   1,298.45x = 926,825.98
5. Step 5: Solve for x
   x = 926,825.98/1,298.45
6. Step 6: Final answer
   x = 713.79