Finding the Fourth Proportional to 10,513.38, 14,507.81 and 5,797.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,513.38 : 14,507.81 = 5,797.67 : x
2. Step 2: Convert to fraction form
   10,513.38/14,507.81 = 5,797.67/x
3. Step 3: Cross multiply
   10,513.38x = 14,507.81 × 5,797.67
4. Step 4: Simplify right side
   10,513.38x = 84,111,393.28
5. Step 5: Solve for x
   x = 84,111,393.28/10,513.38
6. Step 6: Final answer
   x = 8,000.41