Finding the Fourth Proportional to 10,627.57, 14,665 and 5,911.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,627.57 : 14,665 = 5,911.57 : x
2. Step 2: Convert to fraction form
   10,627.57/14,665 = 5,911.57/x
3. Step 3: Cross multiply
   10,627.57x = 14,665 × 5,911.57
4. Step 4: Simplify right side
   10,627.57x = 86,693,174.05
5. Step 5: Solve for x
   x = 86,693,174.05/10,627.57
6. Step 6: Final answer
   x = 8,157.38