Finding the Fourth Proportional to 13,824.23, 19,077.71 and 7,536.61

Step by Step Solution

1. Step 1: Write the proportion equation
   13,824.23 : 19,077.71 = 7,536.61 : x
2. Step 2: Convert to fraction form
   13,824.23/19,077.71 = 7,536.61/x
3. Step 3: Cross multiply
   13,824.23x = 19,077.71 × 7,536.61
4. Step 4: Simplify right side
   13,824.23x = 143,781,164.57
5. Step 5: Solve for x
   x = 143,781,164.57/13,824.23
6. Step 6: Final answer
   x = 10,400.66