Finding the Fourth Proportional to 13,795.96, 19,037.86 and 7,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,795.96 : 19,037.86 = 7,827.50 : x
2. Step 2: Convert to fraction form
   13,795.96/19,037.86 = 7,827.50/x
3. Step 3: Cross multiply
   13,795.96x = 19,037.86 × 7,827.50
4. Step 4: Simplify right side
   13,795.96x = 149,018,734.39
5. Step 5: Solve for x
   x = 149,018,734.39/13,795.96
6. Step 6: Final answer
   x = 10,801.63