Finding the Fourth Proportional to 10,145.58, 15,223.83 and 5,213.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,145.58 : 15,223.83 = 5,213.91 : x
2. Step 2: Convert to fraction form
   10,145.58/15,223.83 = 5,213.91/x
3. Step 3: Cross multiply
   10,145.58x = 15,223.83 × 5,213.91
4. Step 4: Simplify right side
   10,145.58x = 79,375,679.48
5. Step 5: Solve for x
   x = 79,375,679.48/10,145.58
6. Step 6: Final answer
   x = 7,823.67