Finding the Fourth Proportional to 4,747.82, 7,116.86 and 1,828.17

Step by Step Solution

1. Step 1: Write the proportion equation
   4,747.82 : 7,116.86 = 1,828.17 : x
2. Step 2: Convert to fraction form
   4,747.82/7,116.86 = 1,828.17/x
3. Step 3: Cross multiply
   4,747.82x = 7,116.86 × 1,828.17
4. Step 4: Simplify right side
   4,747.82x = 13,010,834.52
5. Step 5: Solve for x
   x = 13,010,834.52/4,747.82
6. Step 6: Final answer
   x = 2,740.38