Finding the Fourth Proportional to 13,771.82, 19,005.52 and 7,803.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,771.82 : 19,005.52 = 7,803.50 : x
2. Step 2: Convert to fraction form
   13,771.82/19,005.52 = 7,803.50/x
3. Step 3: Cross multiply
   13,771.82x = 19,005.52 × 7,803.50
4. Step 4: Simplify right side
   13,771.82x = 148,309,575.32
5. Step 5: Solve for x
   x = 148,309,575.32/13,771.82
6. Step 6: Final answer
   x = 10,769.06