Finding the Fourth Proportional to 10,510.30, 14,504.20 and 5,794.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,510.30 : 14,504.20 = 5,794.66 : x
2. Step 2: Convert to fraction form
   10,510.30/14,504.20 = 5,794.66/x
3. Step 3: Cross multiply
   10,510.30x = 14,504.20 × 5,794.66
4. Step 4: Simplify right side
   10,510.30x = 84,046,907.57
5. Step 5: Solve for x
   x = 84,046,907.57/10,510.30
6. Step 6: Final answer
   x = 7,996.62