Finding the Fourth Proportional to 9,902.82, 13,667.13 and 5,712.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,902.82 : 13,667.13 = 5,712.42 : x
2. Step 2: Convert to fraction form
   9,902.82/13,667.13 = 5,712.42/x
3. Step 3: Cross multiply
   9,902.82x = 13,667.13 × 5,712.42
4. Step 4: Simplify right side
   9,902.82x = 78,072,386.75
5. Step 5: Solve for x
   x = 78,072,386.75/9,902.82
6. Step 6: Final answer
   x = 7,883.85