Finding the Fourth Proportional to 10,005.47, 15,005.93 and 3,766.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005.47 : 15,005.93 = 3,766.14 : x
2. Step 2: Convert to fraction form
   10,005.47/15,005.93 = 3,766.14/x
3. Step 3: Cross multiply
   10,005.47x = 15,005.93 × 3,766.14
4. Step 4: Simplify right side
   10,005.47x = 56,514,414.38
5. Step 5: Solve for x
   x = 56,514,414.38/10,005.47
6. Step 6: Final answer
   x = 5,648.35