Finding the Fourth Proportional to 10,562.43, 14,576.31 and 5,846.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,562.43 : 14,576.31 = 5,846.88 : x
2. Step 2: Convert to fraction form
   10,562.43/14,576.31 = 5,846.88/x
3. Step 3: Cross multiply
   10,562.43x = 14,576.31 × 5,846.88
4. Step 4: Simplify right side
   10,562.43x = 85,225,935.41
5. Step 5: Solve for x
   x = 85,225,935.41/10,562.43
6. Step 6: Final answer
   x = 8,068.78