Finding the Fourth Proportional to 10,488.51, 14,474.15 and 5,772.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,488.51 : 14,474.15 = 5,772.75 : x
2. Step 2: Convert to fraction form
   10,488.51/14,474.15 = 5,772.75/x
3. Step 3: Cross multiply
   10,488.51x = 14,474.15 × 5,772.75
4. Step 4: Simplify right side
   10,488.51x = 83,555,620.55
5. Step 5: Solve for x
   x = 83,555,620.55/10,488.51
6. Step 6: Final answer
   x = 7,966.40