Finding the Fourth Proportional to 10,488.06, 14,474.23 and 5,772.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,488.06 : 14,474.23 = 5,772.65 : x
2. Step 2: Convert to fraction form
   10,488.06/14,474.23 = 5,772.65/x
3. Step 3: Cross multiply
   10,488.06x = 14,474.23 × 5,772.65
4. Step 4: Simplify right side
   10,488.06x = 83,554,577.01
5. Step 5: Solve for x
   x = 83,554,577.01/10,488.06
6. Step 6: Final answer
   x = 7,966.64