Finding the Fourth Proportional to 10,705.10, 14,772.46 and 5,924.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,705.10 : 14,772.46 = 5,924.78 : x
2. Step 2: Convert to fraction form
   10,705.10/14,772.46 = 5,924.78/x
3. Step 3: Cross multiply
   10,705.10x = 14,772.46 × 5,924.78
4. Step 4: Simplify right side
   10,705.10x = 87,523,547.22
5. Step 5: Solve for x
   x = 87,523,547.22/10,705.10
6. Step 6: Final answer
   x = 8,175.87