Finding the Fourth Proportional to 13,810.29, 19,058.43 and 7,842.12

Step by Step Solution

1. Step 1: Write the proportion equation
   13,810.29 : 19,058.43 = 7,842.12 : x
2. Step 2: Convert to fraction form
   13,810.29/19,058.43 = 7,842.12/x
3. Step 3: Cross multiply
   13,810.29x = 19,058.43 × 7,842.12
4. Step 4: Simplify right side
   13,810.29x = 149,458,495.07
5. Step 5: Solve for x
   x = 149,458,495.07/13,810.29
6. Step 6: Final answer
   x = 10,822.26