Finding the Fourth Proportional to 10,258, 14,156.04 and 5,842

Step by Step Solution

1. Step 1: Write the proportion equation
   10,258 : 14,156.04 = 5,842 : x
2. Step 2: Convert to fraction form
   10,258/14,156.04 = 5,842/x
3. Step 3: Cross multiply
   10,258x = 14,156.04 × 5,842
4. Step 4: Simplify right side
   10,258x = 82,699,585.68
5. Step 5: Solve for x
   x = 82,699,585.68/10,258
6. Step 6: Final answer
   x = 8,061.96