Finding the Fourth Proportional to 10,029.72, 13,841.27 and 5,492.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,029.72 : 13,841.27 = 5,492.85 : x
2. Step 2: Convert to fraction form
   10,029.72/13,841.27 = 5,492.85/x
3. Step 3: Cross multiply
   10,029.72x = 13,841.27 × 5,492.85
4. Step 4: Simplify right side
   10,029.72x = 76,027,992.46
5. Step 5: Solve for x
   x = 76,027,992.46/10,029.72
6. Step 6: Final answer
   x = 7,580.27