Finding the Fourth Proportional to 13,822.25, 19,075.23 and 7,854.98

Step by Step Solution

1. Step 1: Write the proportion equation
   13,822.25 : 19,075.23 = 7,854.98 : x
2. Step 2: Convert to fraction form
   13,822.25/19,075.23 = 7,854.98/x
3. Step 3: Cross multiply
   13,822.25x = 19,075.23 × 7,854.98
4. Step 4: Simplify right side
   13,822.25x = 149,835,454.77
5. Step 5: Solve for x
   x = 149,835,454.77/13,822.25
6. Step 6: Final answer
   x = 10,840.17