Finding the Fourth Proportional to 9,402.82, 14,086.05 and 5,230.21

Step by Step Solution

1. Step 1: Write the proportion equation
   9,402.82 : 14,086.05 = 5,230.21 : x
2. Step 2: Convert to fraction form
   9,402.82/14,086.05 = 5,230.21/x
3. Step 3: Cross multiply
   9,402.82x = 14,086.05 × 5,230.21
4. Step 4: Simplify right side
   9,402.82x = 73,672,999.57
5. Step 5: Solve for x
   x = 73,672,999.57/9,402.82
6. Step 6: Final answer
   x = 7,835.20