Finding the Fourth Proportional to 10,549.57, 14,558.20 and 5,769.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,549.57 : 14,558.20 = 5,769.38 : x
2. Step 2: Convert to fraction form
   10,549.57/14,558.20 = 5,769.38/x
3. Step 3: Cross multiply
   10,549.57x = 14,558.20 × 5,769.38
4. Step 4: Simplify right side
   10,549.57x = 83,991,809.89
5. Step 5: Solve for x
   x = 83,991,809.89/10,549.57
6. Step 6: Final answer
   x = 7,961.64