Finding the Fourth Proportional to 10,038.65, 13,854.31 and 5,846.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,038.65 : 13,854.31 = 5,846.63 : x
2. Step 2: Convert to fraction form
   10,038.65/13,854.31 = 5,846.63/x
3. Step 3: Cross multiply
   10,038.65x = 13,854.31 × 5,846.63
4. Step 4: Simplify right side
   10,038.65x = 81,000,940.59
5. Step 5: Solve for x
   x = 81,000,940.59/10,038.65
6. Step 6: Final answer
   x = 8,068.91