Finding the Fourth Proportional to 10,392.84, 14,342.06 and 5,677.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,392.84 : 14,342.06 = 5,677.09 : x
2. Step 2: Convert to fraction form
   10,392.84/14,342.06 = 5,677.09/x
3. Step 3: Cross multiply
   10,392.84x = 14,342.06 × 5,677.09
4. Step 4: Simplify right side
   10,392.84x = 81,421,143.74
5. Step 5: Solve for x
   x = 81,421,143.74/10,392.84
6. Step 6: Final answer
   x = 7,834.35