Finding the Fourth Proportional to 14,124.96, 19,492.80 and 7,837.60

Step by Step Solution

1. Step 1: Write the proportion equation
   14,124.96 : 19,492.80 = 7,837.60 : x
2. Step 2: Convert to fraction form
   14,124.96/19,492.80 = 7,837.60/x
3. Step 3: Cross multiply
   14,124.96x = 19,492.80 × 7,837.60
4. Step 4: Simplify right side
   14,124.96x = 152,776,769.28
5. Step 5: Solve for x
   x = 152,776,769.28/14,124.96
6. Step 6: Final answer
   x = 10,816.09