Finding the Fourth Proportional to 1,298.69, 1,947.43 and 476.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.69 : 1,947.43 = 476.96 : x
2. Step 2: Convert to fraction form
   1,298.69/1,947.43 = 476.96/x
3. Step 3: Cross multiply
   1,298.69x = 1,947.43 × 476.96
4. Step 4: Simplify right side
   1,298.69x = 928,849.89
5. Step 5: Solve for x
   x = 928,849.89/1,298.69
6. Step 6: Final answer
   x = 715.22