Finding the Fourth Proportional to 9,876.33, 13,629.42 and 5,400.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,876.33 : 13,629.42 = 5,400.18 : x
2. Step 2: Convert to fraction form
   9,876.33/13,629.42 = 5,400.18/x
3. Step 3: Cross multiply
   9,876.33x = 13,629.42 × 5,400.18
4. Step 4: Simplify right side
   9,876.33x = 73,601,321.30
5. Step 5: Solve for x
   x = 73,601,321.30/9,876.33
6. Step 6: Final answer
   x = 7,452.29