Finding the Fourth Proportional to 5,536.16, 7,692.80 and 5,466.30

Step by Step Solution

1. Step 1: Write the proportion equation
   5,536.16 : 7,692.80 = 5,466.30 : x
2. Step 2: Convert to fraction form
   5,536.16/7,692.80 = 5,466.30/x
3. Step 3: Cross multiply
   5,536.16x = 7,692.80 × 5,466.30
4. Step 4: Simplify right side
   5,536.16x = 42,051,096.46
5. Step 5: Solve for x
   x = 42,051,096.46/5,536.16
6. Step 6: Final answer
   x = 7,595.72