Finding the Fourth Proportional to 10,838, 14,956.48 and 5,870

Step by Step Solution

1. Step 1: Write the proportion equation
   10,838 : 14,956.48 = 5,870 : x
2. Step 2: Convert to fraction form
   10,838/14,956.48 = 5,870/x
3. Step 3: Cross multiply
   10,838x = 14,956.48 × 5,870
4. Step 4: Simplify right side
   10,838x = 87,794,537.60
5. Step 5: Solve for x
   x = 87,794,537.60/10,838
6. Step 6: Final answer
   x = 8,100.62