Finding the Fourth Proportional to 10,546.16, 14,553.18 and 5,766.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,546.16 : 14,553.18 = 5,766.35 : x
2. Step 2: Convert to fraction form
   10,546.16/14,553.18 = 5,766.35/x
3. Step 3: Cross multiply
   10,546.16x = 14,553.18 × 5,766.35
4. Step 4: Simplify right side
   10,546.16x = 83,918,656.73
5. Step 5: Solve for x
   x = 83,918,656.73/10,546.16
6. Step 6: Final answer
   x = 7,957.28