Finding the Fourth Proportional to 13,829.94, 19,085.32 and 7,861.46

Step by Step Solution

1. Step 1: Write the proportion equation
   13,829.94 : 19,085.32 = 7,861.46 : x
2. Step 2: Convert to fraction form
   13,829.94/19,085.32 = 7,861.46/x
3. Step 3: Cross multiply
   13,829.94x = 19,085.32 × 7,861.46
4. Step 4: Simplify right side
   13,829.94x = 150,038,394.17
5. Step 5: Solve for x
   x = 150,038,394.17/13,829.94
6. Step 6: Final answer
   x = 10,848.81