Finding the Fourth Proportional to 10,024.40, 13,832.42 and 5,547.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,024.40 : 13,832.42 = 5,547.53 : x
2. Step 2: Convert to fraction form
   10,024.40/13,832.42 = 5,547.53/x
3. Step 3: Cross multiply
   10,024.40x = 13,832.42 × 5,547.53
4. Step 4: Simplify right side
   10,024.40x = 76,735,668.02
5. Step 5: Solve for x
   x = 76,735,668.02/10,024.40
6. Step 6: Final answer
   x = 7,654.89