Finding the Fourth Proportional to 10,075.10, 15,109.06 and 3,833.45

Step by Step Solution

1. Step 1: Write the proportion equation
   10,075.10 : 15,109.06 = 3,833.45 : x
2. Step 2: Convert to fraction form
   10,075.10/15,109.06 = 3,833.45/x
3. Step 3: Cross multiply
   10,075.10x = 15,109.06 × 3,833.45
4. Step 4: Simplify right side
   10,075.10x = 57,919,826.06
5. Step 5: Solve for x
   x = 57,919,826.06/10,075.10
6. Step 6: Final answer
   x = 5,748.81