Finding the Fourth Proportional to 1,298.67, 1,947.98 and 476.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.67 : 1,947.98 = 476.62 : x
2. Step 2: Convert to fraction form
   1,298.67/1,947.98 = 476.62/x
3. Step 3: Cross multiply
   1,298.67x = 1,947.98 × 476.62
4. Step 4: Simplify right side
   1,298.67x = 928,442.55
5. Step 5: Solve for x
   x = 928,442.55/1,298.67
6. Step 6: Final answer
   x = 714.92