Finding the Fourth Proportional to 9,969.06, 13,757.40 and 5,492.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,969.06 : 13,757.40 = 5,492.82 : x
2. Step 2: Convert to fraction form
   9,969.06/13,757.40 = 5,492.82/x
3. Step 3: Cross multiply
   9,969.06x = 13,757.40 × 5,492.82
4. Step 4: Simplify right side
   9,969.06x = 75,566,921.87
5. Step 5: Solve for x
   x = 75,566,921.87/9,969.06
6. Step 6: Final answer
   x = 7,580.15