Finding the Fourth Proportional to 10,382.65, 14,328.52 and 5,846.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,382.65 : 14,328.52 = 5,846.89 : x
2. Step 2: Convert to fraction form
   10,382.65/14,328.52 = 5,846.89/x
3. Step 3: Cross multiply
   10,382.65x = 14,328.52 × 5,846.89
4. Step 4: Simplify right side
   10,382.65x = 83,777,280.30
5. Step 5: Solve for x
   x = 83,777,280.30/10,382.65
6. Step 6: Final answer
   x = 8,068.97