Finding the Fourth Proportional to 9,077.10, 13,616.05 and 5,128.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,077.10 : 13,616.05 = 5,128.30 : x
2. Step 2: Convert to fraction form
   9,077.10/13,616.05 = 5,128.30/x
3. Step 3: Cross multiply
   9,077.10x = 13,616.05 × 5,128.30
4. Step 4: Simplify right side
   9,077.10x = 69,827,189.22
5. Step 5: Solve for x
   x = 69,827,189.22/9,077.10
6. Step 6: Final answer
   x = 7,692.68