Finding the Fourth Proportional to 10,567.68, 14,583.72 and 5,852.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,567.68 : 14,583.72 = 5,852.40 : x
2. Step 2: Convert to fraction form
   10,567.68/14,583.72 = 5,852.40/x
3. Step 3: Cross multiply
   10,567.68x = 14,583.72 × 5,852.40
4. Step 4: Simplify right side
   10,567.68x = 85,349,762.93
5. Step 5: Solve for x
   x = 85,349,762.93/10,567.68
6. Step 6: Final answer
   x = 8,076.49