Finding the Fourth Proportional to 1,298.75, 1,947.83 and 476.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.75 : 1,947.83 = 476.82 : x
2. Step 2: Convert to fraction form
   1,298.75/1,947.83 = 476.82/x
3. Step 3: Cross multiply
   1,298.75x = 1,947.83 × 476.82
4. Step 4: Simplify right side
   1,298.75x = 928,761.92
5. Step 5: Solve for x
   x = 928,761.92/1,298.75
6. Step 6: Final answer
   x = 715.12