Finding the Fourth Proportional to 14,110.56, 19,471.74 and 7,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,110.56 : 19,471.74 = 7,822.50 : x
2. Step 2: Convert to fraction form
   14,110.56/19,471.74 = 7,822.50/x
3. Step 3: Cross multiply
   14,110.56x = 19,471.74 × 7,822.50
4. Step 4: Simplify right side
   14,110.56x = 152,317,686.15
5. Step 5: Solve for x
   x = 152,317,686.15/14,110.56
6. Step 6: Final answer
   x = 10,794.59