Finding the Fourth Proportional to 13,796.02, 19,037.91 and 7,827.56

Step by Step Solution

1. Step 1: Write the proportion equation
   13,796.02 : 19,037.91 = 7,827.56 : x
2. Step 2: Convert to fraction form
   13,796.02/19,037.91 = 7,827.56/x
3. Step 3: Cross multiply
   13,796.02x = 19,037.91 × 7,827.56
4. Step 4: Simplify right side
   13,796.02x = 149,020,419.88
5. Step 5: Solve for x
   x = 149,020,419.88/13,796.02
6. Step 6: Final answer
   x = 10,801.70