Finding the Fourth Proportional to 10,567.75, 14,583.50 and 5,852.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,567.75 : 14,583.50 = 5,852.34 : x
2. Step 2: Convert to fraction form
   10,567.75/14,583.50 = 5,852.34/x
3. Step 3: Cross multiply
   10,567.75x = 14,583.50 × 5,852.34
4. Step 4: Simplify right side
   10,567.75x = 85,347,600.39
5. Step 5: Solve for x
   x = 85,347,600.39/10,567.75
6. Step 6: Final answer
   x = 8,076.23