Finding the Fourth Proportional to 10,026.34, 13,836.83 and 5,778.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026.34 : 13,836.83 = 5,778.04 : x
2. Step 2: Convert to fraction form
   10,026.34/13,836.83 = 5,778.04/x
3. Step 3: Cross multiply
   10,026.34x = 13,836.83 × 5,778.04
4. Step 4: Simplify right side
   10,026.34x = 79,949,757.21
5. Step 5: Solve for x
   x = 79,949,757.21/10,026.34
6. Step 6: Final answer
   x = 7,973.97