Finding the Fourth Proportional to 10,023.89, 13,832.39 and 5,547.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,023.89 : 13,832.39 = 5,547.37 : x
2. Step 2: Convert to fraction form
   10,023.89/13,832.39 = 5,547.37/x
3. Step 3: Cross multiply
   10,023.89x = 13,832.39 × 5,547.37
4. Step 4: Simplify right side
   10,023.89x = 76,733,385.31
5. Step 5: Solve for x
   x = 76,733,385.31/10,023.89
6. Step 6: Final answer
   x = 7,655.05