Finding the Fourth Proportional to 10,370.76, 14,311.98 and 5,834.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,370.76 : 14,311.98 = 5,834.20 : x
2. Step 2: Convert to fraction form
   10,370.76/14,311.98 = 5,834.20/x
3. Step 3: Cross multiply
   10,370.76x = 14,311.98 × 5,834.20
4. Step 4: Simplify right side
   10,370.76x = 83,498,953.72
5. Step 5: Solve for x
   x = 83,498,953.72/10,370.76
6. Step 6: Final answer
   x = 8,051.38