Finding the Fourth Proportional to 13,827.84, 19,082.88 and 7,540.56

Step by Step Solution

1. Step 1: Write the proportion equation
   13,827.84 : 19,082.88 = 7,540.56 : x
2. Step 2: Convert to fraction form
   13,827.84/19,082.88 = 7,540.56/x
3. Step 3: Cross multiply
   13,827.84x = 19,082.88 × 7,540.56
4. Step 4: Simplify right side
   13,827.84x = 143,895,601.61
5. Step 5: Solve for x
   x = 143,895,601.61/13,827.84
6. Step 6: Final answer
   x = 10,406.22