Finding the Fourth Proportional to 10,392.74, 14,342.37 and 5,677.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,392.74 : 14,342.37 = 5,677.06 : x
2. Step 2: Convert to fraction form
   10,392.74/14,342.37 = 5,677.06/x
3. Step 3: Cross multiply
   10,392.74x = 14,342.37 × 5,677.06
4. Step 4: Simplify right side
   10,392.74x = 81,422,423.32
5. Step 5: Solve for x
   x = 81,422,423.32/10,392.74
6. Step 6: Final answer
   x = 7,834.55