Finding the Fourth Proportional to 10,392.77, 14,342.01 and 5,677.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,392.77 : 14,342.01 = 5,677.05 : x
2. Step 2: Convert to fraction form
   10,392.77/14,342.01 = 5,677.05/x
3. Step 3: Cross multiply
   10,392.77x = 14,342.01 × 5,677.05
4. Step 4: Simplify right side
   10,392.77x = 81,420,307.87
5. Step 5: Solve for x
   x = 81,420,307.87/10,392.77
6. Step 6: Final answer
   x = 7,834.32