Finding the Fourth Proportional to 10,588.05, 14,611.58 and 5,872.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588.05 : 14,611.58 = 5,872.63 : x
2. Step 2: Convert to fraction form
   10,588.05/14,611.58 = 5,872.63/x
3. Step 3: Cross multiply
   10,588.05x = 14,611.58 × 5,872.63
4. Step 4: Simplify right side
   10,588.05x = 85,808,373.69
5. Step 5: Solve for x
   x = 85,808,373.69/10,588.05
6. Step 6: Final answer
   x = 8,104.27