Finding the Fourth Proportional to 10,022.76, 13,829.85 and 5,774.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.76 : 13,829.85 = 5,774.00 : x
2. Step 2: Convert to fraction form
   10,022.76/13,829.85 = 5,774.00/x
3. Step 3: Cross multiply
   10,022.76x = 13,829.85 × 5,774.00
4. Step 4: Simplify right side
   10,022.76x = 79,853,484.75
5. Step 5: Solve for x
   x = 79,853,484.75/10,022.76
6. Step 6: Final answer
   x = 7,967.22