Finding the Fourth Proportional to 9,365.78, 14,036.56 and 3,812.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,365.78 : 14,036.56 = 3,812.63 : x
2. Step 2: Convert to fraction form
   9,365.78/14,036.56 = 3,812.63/x
3. Step 3: Cross multiply
   9,365.78x = 14,036.56 × 3,812.63
4. Step 4: Simplify right side
   9,365.78x = 53,516,130.04
5. Step 5: Solve for x
   x = 53,516,130.04/9,365.78
6. Step 6: Final answer
   x = 5,714.01