Finding the Fourth Proportional to 10,414.17, 14,390.06 and 9,085.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.17 : 14,390.06 = 9,085.77 : x
2. Step 2: Convert to fraction form
   10,414.17/14,390.06 = 9,085.77/x
3. Step 3: Cross multiply
   10,414.17x = 14,390.06 × 9,085.77
4. Step 4: Simplify right side
   10,414.17x = 130,744,730.02
5. Step 5: Solve for x
   x = 130,744,730.02/10,414.17
6. Step 6: Final answer
   x = 12,554.50