Finding the Fourth Proportional to 9,671.82, 13,346.10 and 5,692.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,671.82 : 13,346.10 = 5,692.69 : x
2. Step 2: Convert to fraction form
   9,671.82/13,346.10 = 5,692.69/x
3. Step 3: Cross multiply
   9,671.82x = 13,346.10 × 5,692.69
4. Step 4: Simplify right side
   9,671.82x = 75,975,210.01
5. Step 5: Solve for x
   x = 75,975,210.01/9,671.82
6. Step 6: Final answer
   x = 7,855.32