Finding the Fourth Proportional to 10,522.64, 14,520.52 and 5,807

Step by Step Solution

1. Step 1: Write the proportion equation
   10,522.64 : 14,520.52 = 5,807 : x
2. Step 2: Convert to fraction form
   10,522.64/14,520.52 = 5,807/x
3. Step 3: Cross multiply
   10,522.64x = 14,520.52 × 5,807
4. Step 4: Simplify right side
   10,522.64x = 84,320,659.64
5. Step 5: Solve for x
   x = 84,320,659.64/10,522.64
6. Step 6: Final answer
   x = 8,013.26