Finding the Fourth Proportional to 11,665.84, 16,101.46 and 7,416.07

Step by Step Solution

1. Step 1: Write the proportion equation
   11,665.84 : 16,101.46 = 7,416.07 : x
2. Step 2: Convert to fraction form
   11,665.84/16,101.46 = 7,416.07/x
3. Step 3: Cross multiply
   11,665.84x = 16,101.46 × 7,416.07
4. Step 4: Simplify right side
   11,665.84x = 119,409,554.46
5. Step 5: Solve for x
   x = 119,409,554.46/11,665.84
6. Step 6: Final answer
   x = 10,235.83