Finding the Fourth Proportional to 10,472.82, 14,452.24 and 5,692.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,472.82 : 14,452.24 = 5,692.63 : x
2. Step 2: Convert to fraction form
   10,472.82/14,452.24 = 5,692.63/x
3. Step 3: Cross multiply
   10,472.82x = 14,452.24 × 5,692.63
4. Step 4: Simplify right side
   10,472.82x = 82,271,254.99
5. Step 5: Solve for x
   x = 82,271,254.99/10,472.82
6. Step 6: Final answer
   x = 7,855.69