Finding the Fourth Proportional to 14,164.50, 19,547.46 and 7,877.28

Step by Step Solution

1. Step 1: Write the proportion equation
   14,164.50 : 19,547.46 = 7,877.28 : x
2. Step 2: Convert to fraction form
   14,164.50/19,547.46 = 7,877.28/x
3. Step 3: Cross multiply
   14,164.50x = 19,547.46 × 7,877.28
4. Step 4: Simplify right side
   14,164.50x = 153,980,815.71
5. Step 5: Solve for x
   x = 153,980,815.71/14,164.50
6. Step 6: Final answer
   x = 10,870.90