Finding the Fourth Proportional to 10,546.61, 14,553.95 and 5,766.39

Step by Step Solution

1. Step 1: Write the proportion equation
   10,546.61 : 14,553.95 = 5,766.39 : x
2. Step 2: Convert to fraction form
   10,546.61/14,553.95 = 5,766.39/x
3. Step 3: Cross multiply
   10,546.61x = 14,553.95 × 5,766.39
4. Step 4: Simplify right side
   10,546.61x = 83,923,722.91
5. Step 5: Solve for x
   x = 83,923,722.91/10,546.61
6. Step 6: Final answer
   x = 7,957.42