Finding the Fourth Proportional to 9,881.82, 13,636.89 and 5,902.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,881.82 : 13,636.89 = 5,902.74 : x
2. Step 2: Convert to fraction form
   9,881.82/13,636.89 = 5,902.74/x
3. Step 3: Cross multiply
   9,881.82x = 13,636.89 × 5,902.74
4. Step 4: Simplify right side
   9,881.82x = 80,495,016.08
5. Step 5: Solve for x
   x = 80,495,016.08/9,881.82
6. Step 6: Final answer
   x = 8,145.77