Finding the Fourth Proportional to 10,321.60, 14,244.69 and 5,846.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,321.60 : 14,244.69 = 5,846.15 : x
2. Step 2: Convert to fraction form
   10,321.60/14,244.69 = 5,846.15/x
3. Step 3: Cross multiply
   10,321.60x = 14,244.69 × 5,846.15
4. Step 4: Simplify right side
   10,321.60x = 83,276,576.64
5. Step 5: Solve for x
   x = 83,276,576.64/10,321.60
6. Step 6: Final answer
   x = 8,068.18