Finding the Fourth Proportional to 10,251.27, 14,147.57 and 5,774.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,251.27 : 14,147.57 = 5,774.74 : x
2. Step 2: Convert to fraction form
   10,251.27/14,147.57 = 5,774.74/x
3. Step 3: Cross multiply
   10,251.27x = 14,147.57 × 5,774.74
4. Step 4: Simplify right side
   10,251.27x = 81,698,538.38
5. Step 5: Solve for x
   x = 81,698,538.38/10,251.27
6. Step 6: Final answer
   x = 7,969.60