Finding the Fourth Proportional to 13,830.18, 19,085.76 and 7,542.57

Step by Step Solution

1. Step 1: Write the proportion equation
   13,830.18 : 19,085.76 = 7,542.57 : x
2. Step 2: Convert to fraction form
   13,830.18/19,085.76 = 7,542.57/x
3. Step 3: Cross multiply
   13,830.18x = 19,085.76 × 7,542.57
4. Step 4: Simplify right side
   13,830.18x = 143,955,680.80
5. Step 5: Solve for x
   x = 143,955,680.80/13,830.18
6. Step 6: Final answer
   x = 10,408.81