Finding the Fourth Proportional to 13,822.91, 19,075.61 and 7,854.58

Step by Step Solution

1. Step 1: Write the proportion equation
   13,822.91 : 19,075.61 = 7,854.58 : x
2. Step 2: Convert to fraction form
   13,822.91/19,075.61 = 7,854.58/x
3. Step 3: Cross multiply
   13,822.91x = 19,075.61 × 7,854.58
4. Step 4: Simplify right side
   13,822.91x = 149,830,918.82
5. Step 5: Solve for x
   x = 149,830,918.82/13,822.91
6. Step 6: Final answer
   x = 10,839.32