Finding the Fourth Proportional to 10,002.84, 13,796.37 and 6,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,002.84 : 13,796.37 = 6,022.50 : x
2. Step 2: Convert to fraction form
   10,002.84/13,796.37 = 6,022.50/x
3. Step 3: Cross multiply
   10,002.84x = 13,796.37 × 6,022.50
4. Step 4: Simplify right side
   10,002.84x = 83,088,638.33
5. Step 5: Solve for x
   x = 83,088,638.33/10,002.84
6. Step 6: Final answer
   x = 8,306.50