Finding the Fourth Proportional to 10,389.98, 14,337.77 and 5,852.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,389.98 : 14,337.77 = 5,852.57 : x
2. Step 2: Convert to fraction form
   10,389.98/14,337.77 = 5,852.57/x
3. Step 3: Cross multiply
   10,389.98x = 14,337.77 × 5,852.57
4. Step 4: Simplify right side
   10,389.98x = 83,912,802.57
5. Step 5: Solve for x
   x = 83,912,802.57/10,389.98
6. Step 6: Final answer
   x = 8,076.32