Finding the Fourth Proportional to 1,298.94, 1,948.34 and 477.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.94 : 1,948.34 = 477.15 : x
2. Step 2: Convert to fraction form
   1,298.94/1,948.34 = 477.15/x
3. Step 3: Cross multiply
   1,298.94x = 1,948.34 × 477.15
4. Step 4: Simplify right side
   1,298.94x = 929,640.69
5. Step 5: Solve for x
   x = 929,640.69/1,298.94
6. Step 6: Final answer
   x = 715.69