Finding the Fourth Proportional to 10,392.72, 14,342 and 5,677.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,392.72 : 14,342 = 5,677.12 : x
2. Step 2: Convert to fraction form
   10,392.72/14,342 = 5,677.12/x
3. Step 3: Cross multiply
   10,392.72x = 14,342 × 5,677.12
4. Step 4: Simplify right side
   10,392.72x = 81,421,255.04
5. Step 5: Solve for x
   x = 81,421,255.04/10,392.72
6. Step 6: Final answer
   x = 7,834.45