Finding the Fourth Proportional to 10,456.86, 14,430.73 and 5,677.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.86 : 14,430.73 = 5,677.00 : x
2. Step 2: Convert to fraction form
   10,456.86/14,430.73 = 5,677.00/x
3. Step 3: Cross multiply
   10,456.86x = 14,430.73 × 5,677.00
4. Step 4: Simplify right side
   10,456.86x = 81,923,203.94
5. Step 5: Solve for x
   x = 81,923,203.94/10,456.86
6. Step 6: Final answer
   x = 7,834.40