Finding the Fourth Proportional to 10,005.34, 15,005.74 and 3,766.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005.34 : 15,005.74 = 3,766.02 : x
2. Step 2: Convert to fraction form
   10,005.34/15,005.74 = 3,766.02/x
3. Step 3: Cross multiply
   10,005.34x = 15,005.74 × 3,766.02
4. Step 4: Simplify right side
   10,005.34x = 56,511,916.95
5. Step 5: Solve for x
   x = 56,511,916.95/10,005.34
6. Step 6: Final answer
   x = 5,648.18