Finding the Fourth Proportional to 13,787.50, 19,030.12 and 7,822.66

Step by Step Solution

1. Step 1: Write the proportion equation
   13,787.50 : 19,030.12 = 7,822.66 : x
2. Step 2: Convert to fraction form
   13,787.50/19,030.12 = 7,822.66/x
3. Step 3: Cross multiply
   13,787.50x = 19,030.12 × 7,822.66
4. Step 4: Simplify right side
   13,787.50x = 148,866,063.37
5. Step 5: Solve for x
   x = 148,866,063.37/13,787.50
6. Step 6: Final answer
   x = 10,797.18