Finding the Fourth Proportional to 13,830.38, 19,085.90 and 7,862.05

Step by Step Solution

1. Step 1: Write the proportion equation
   13,830.38 : 19,085.90 = 7,862.05 : x
2. Step 2: Convert to fraction form
   13,830.38/19,085.90 = 7,862.05/x
3. Step 3: Cross multiply
   13,830.38x = 19,085.90 × 7,862.05
4. Step 4: Simplify right side
   13,830.38x = 150,054,300.10
5. Step 5: Solve for x
   x = 150,054,300.10/13,830.38
6. Step 6: Final answer
   x = 10,849.62