Finding the Fourth Proportional to 9,822.42, 13,554.65 and 5,346.07

Step by Step Solution

1. Step 1: Write the proportion equation
   9,822.42 : 13,554.65 = 5,346.07 : x
2. Step 2: Convert to fraction form
   9,822.42/13,554.65 = 5,346.07/x
3. Step 3: Cross multiply
   9,822.42x = 13,554.65 × 5,346.07
4. Step 4: Simplify right side
   9,822.42x = 72,464,087.20
5. Step 5: Solve for x
   x = 72,464,087.20/9,822.42
6. Step 6: Final answer
   x = 7,377.42