Finding the Fourth Proportional to 13,791.56, 19,034.31 and 7,824.71

Step by Step Solution

1. Step 1: Write the proportion equation
   13,791.56 : 19,034.31 = 7,824.71 : x
2. Step 2: Convert to fraction form
   13,791.56/19,034.31 = 7,824.71/x
3. Step 3: Cross multiply
   13,791.56x = 19,034.31 × 7,824.71
4. Step 4: Simplify right side
   13,791.56x = 148,937,955.80
5. Step 5: Solve for x
   x = 148,937,955.80/13,791.56
6. Step 6: Final answer
   x = 10,799.21