Finding the Fourth Proportional to 10,706.10, 14,773.85 and 5,925.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,706.10 : 14,773.85 = 5,925.78 : x
2. Step 2: Convert to fraction form
   10,706.10/14,773.85 = 5,925.78/x
3. Step 3: Cross multiply
   10,706.10x = 14,773.85 × 5,925.78
4. Step 4: Simplify right side
   10,706.10x = 87,546,481.35
5. Step 5: Solve for x
   x = 87,546,481.35/10,706.10
6. Step 6: Final answer
   x = 8,177.25