Finding the Fourth Proportional to 10,567.95, 14,583.77 and 5,852.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,567.95 : 14,583.77 = 5,852.23 : x
2. Step 2: Convert to fraction form
   10,567.95/14,583.77 = 5,852.23/x
3. Step 3: Cross multiply
   10,567.95x = 14,583.77 × 5,852.23
4. Step 4: Simplify right side
   10,567.95x = 85,347,510.59
5. Step 5: Solve for x
   x = 85,347,510.59/10,567.95
6. Step 6: Final answer
   x = 8,076.07