Finding the Fourth Proportional to 10,567.83, 14,584.06 and 5,852.11

Step by Step Solution

1. Step 1: Write the proportion equation
   10,567.83 : 14,584.06 = 5,852.11 : x
2. Step 2: Convert to fraction form
   10,567.83/14,584.06 = 5,852.11/x
3. Step 3: Cross multiply
   10,567.83x = 14,584.06 × 5,852.11
4. Step 4: Simplify right side
   10,567.83x = 85,347,521.57
5. Step 5: Solve for x
   x = 85,347,521.57/10,567.83
6. Step 6: Final answer
   x = 8,076.16