Finding the Fourth Proportional to 7,842.79, 10,823.24 and 4,257.89

Step by Step Solution

1. Step 1: Write the proportion equation
   7,842.79 : 10,823.24 = 4,257.89 : x
2. Step 2: Convert to fraction form
   7,842.79/10,823.24 = 4,257.89/x
3. Step 3: Cross multiply
   7,842.79x = 10,823.24 × 4,257.89
4. Step 4: Simplify right side
   7,842.79x = 46,084,162.48
5. Step 5: Solve for x
   x = 46,084,162.48/7,842.79
6. Step 6: Final answer
   x = 5,875.99