Finding the Fourth Proportional to 10,633.64, 14,673.80 and 5,852.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,633.64 : 14,673.80 = 5,852.76 : x
2. Step 2: Convert to fraction form
   10,633.64/14,673.80 = 5,852.76/x
3. Step 3: Cross multiply
   10,633.64x = 14,673.80 × 5,852.76
4. Step 4: Simplify right side
   10,633.64x = 85,882,200.42
5. Step 5: Solve for x
   x = 85,882,200.42/10,633.64
6. Step 6: Final answer
   x = 8,076.47