Finding the Fourth Proportional to 10,633.12, 14,673.59 and 5,852.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,633.12 : 14,673.59 = 5,852.96 : x
2. Step 2: Convert to fraction form
   10,633.12/14,673.59 = 5,852.96/x
3. Step 3: Cross multiply
   10,633.12x = 14,673.59 × 5,852.96
4. Step 4: Simplify right side
   10,633.12x = 85,883,832.69
5. Step 5: Solve for x
   x = 85,883,832.69/10,633.12
6. Step 6: Final answer
   x = 8,077.01