Finding the Fourth Proportional to 10,102.34, 15,156.59 and 5,175.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102.34 : 15,156.59 = 5,175.46 : x
2. Step 2: Convert to fraction form
   10,102.34/15,156.59 = 5,175.46/x
3. Step 3: Cross multiply
   10,102.34x = 15,156.59 × 5,175.46
4. Step 4: Simplify right side
   10,102.34x = 78,442,325.28
5. Step 5: Solve for x
   x = 78,442,325.28/10,102.34
6. Step 6: Final answer
   x = 7,764.77