Finding the Fourth Proportional to 10,023.25, 13,832.10 and 5,547.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,023.25 : 13,832.10 = 5,547.30 : x
2. Step 2: Convert to fraction form
   10,023.25/13,832.10 = 5,547.30/x
3. Step 3: Cross multiply
   10,023.25x = 13,832.10 × 5,547.30
4. Step 4: Simplify right side
   10,023.25x = 76,730,808.33
5. Step 5: Solve for x
   x = 76,730,808.33/10,023.25
6. Step 6: Final answer
   x = 7,655.28