Finding the Fourth Proportional to 10,302.42, 14,218.05 and 5,824.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,302.42 : 14,218.05 = 5,824.56 : x
2. Step 2: Convert to fraction form
   10,302.42/14,218.05 = 5,824.56/x
3. Step 3: Cross multiply
   10,302.42x = 14,218.05 × 5,824.56
4. Step 4: Simplify right side
   10,302.42x = 82,813,885.31
5. Step 5: Solve for x
   x = 82,813,885.31/10,302.42
6. Step 6: Final answer
   x = 8,038.29