Finding the Fourth Proportional to 9,670.16, 13,345.89 and 5,692.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,670.16 : 13,345.89 = 5,692.25 : x
2. Step 2: Convert to fraction form
   9,670.16/13,345.89 = 5,692.25/x
3. Step 3: Cross multiply
   9,670.16x = 13,345.89 × 5,692.25
4. Step 4: Simplify right side
   9,670.16x = 75,968,142.35
5. Step 5: Solve for x
   x = 75,968,142.35/9,670.16
6. Step 6: Final answer
   x = 7,855.93