Finding the Fourth Proportional to 10,563.06, 14,577.33 and 5,847.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,563.06 : 14,577.33 = 5,847.65 : x
2. Step 2: Convert to fraction form
   10,563.06/14,577.33 = 5,847.65/x
3. Step 3: Cross multiply
   10,563.06x = 14,577.33 × 5,847.65
4. Step 4: Simplify right side
   10,563.06x = 85,243,123.77
5. Step 5: Solve for x
   x = 85,243,123.77/10,563.06
6. Step 6: Final answer
   x = 8,069.93