Finding the Fourth Proportional to 10,333.70, 14,258.16 and 5,856.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,333.70 : 14,258.16 = 5,856.42 : x
2. Step 2: Convert to fraction form
   10,333.70/14,258.16 = 5,856.42/x
3. Step 3: Cross multiply
   10,333.70x = 14,258.16 × 5,856.42
4. Step 4: Simplify right side
   10,333.70x = 83,501,773.39
5. Step 5: Solve for x
   x = 83,501,773.39/10,333.70
6. Step 6: Final answer
   x = 8,080.53