Finding the Fourth Proportional to 10,547.72, 14,556.31 and 5,832

Step by Step Solution

1. Step 1: Write the proportion equation
   10,547.72 : 14,556.31 = 5,832 : x
2. Step 2: Convert to fraction form
   10,547.72/14,556.31 = 5,832/x
3. Step 3: Cross multiply
   10,547.72x = 14,556.31 × 5,832
4. Step 4: Simplify right side
   10,547.72x = 84,892,385.34
5. Step 5: Solve for x
   x = 84,892,385.34/10,547.72
6. Step 6: Final answer
   x = 8,048.41