Finding the Fourth Proportional to 10,378.19, 14,317.83 and 5,839.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378.19 : 14,317.83 = 5,839.83 : x
2. Step 2: Convert to fraction form
   10,378.19/14,317.83 = 5,839.83/x
3. Step 3: Cross multiply
   10,378.19x = 14,317.83 × 5,839.83
4. Step 4: Simplify right side
   10,378.19x = 83,613,693.17
5. Step 5: Solve for x
   x = 83,613,693.17/10,378.19
6. Step 6: Final answer
   x = 8,056.67