Finding the Fourth Proportional to 13,870.96, 19,141.80 and 7,823.14

Step by Step Solution

1. Step 1: Write the proportion equation
   13,870.96 : 19,141.80 = 7,823.14 : x
2. Step 2: Convert to fraction form
   13,870.96/19,141.80 = 7,823.14/x
3. Step 3: Cross multiply
   13,870.96x = 19,141.80 × 7,823.14
4. Step 4: Simplify right side
   13,870.96x = 149,748,981.25
5. Step 5: Solve for x
   x = 149,748,981.25/13,870.96
6. Step 6: Final answer
   x = 10,795.86