Finding the Fourth Proportional to 10,563.98, 14,576.76 and 5,848.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,563.98 : 14,576.76 = 5,848.25 : x
2. Step 2: Convert to fraction form
   10,563.98/14,576.76 = 5,848.25/x
3. Step 3: Cross multiply
   10,563.98x = 14,576.76 × 5,848.25
4. Step 4: Simplify right side
   10,563.98x = 85,248,463.79
5. Step 5: Solve for x
   x = 85,248,463.79/10,563.98
6. Step 6: Final answer
   x = 8,069.73