Finding the Fourth Proportional to 27,835.98, 41,749.57 and 9,116.07

Step by Step Solution

1. Step 1: Write the proportion equation
   27,835.98 : 41,749.57 = 9,116.07 : x
2. Step 2: Convert to fraction form
   27,835.98/41,749.57 = 9,116.07/x
3. Step 3: Cross multiply
   27,835.98x = 41,749.57 × 9,116.07
4. Step 4: Simplify right side
   27,835.98x = 380,592,002.59
5. Step 5: Solve for x
   x = 380,592,002.59/27,835.98
6. Step 6: Final answer
   x = 13,672.66