Finding the Fourth Proportional to 10,072.13, 15,098.88 and 3,830.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072.13 : 15,098.88 = 3,830.27 : x
2. Step 2: Convert to fraction form
   10,072.13/15,098.88 = 3,830.27/x
3. Step 3: Cross multiply
   10,072.13x = 15,098.88 × 3,830.27
4. Step 4: Simplify right side
   10,072.13x = 57,832,787.10
5. Step 5: Solve for x
   x = 57,832,787.10/10,072.13
6. Step 6: Final answer
   x = 5,741.86