Finding the Fourth Proportional to 10,377.09, 14,318.52 and 5,838.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377.09 : 14,318.52 = 5,838.48 : x
2. Step 2: Convert to fraction form
   10,377.09/14,318.52 = 5,838.48/x
3. Step 3: Cross multiply
   10,377.09x = 14,318.52 × 5,838.48
4. Step 4: Simplify right side
   10,377.09x = 83,598,392.65
5. Step 5: Solve for x
   x = 83,598,392.65/10,377.09
6. Step 6: Final answer
   x = 8,056.05