Finding the Fourth Proportional to 14,096.64, 19,454.00 and 7,808.61

Step by Step Solution

1. Step 1: Write the proportion equation
   14,096.64 : 19,454.00 = 7,808.61 : x
2. Step 2: Convert to fraction form
   14,096.64/19,454.00 = 7,808.61/x
3. Step 3: Cross multiply
   14,096.64x = 19,454.00 × 7,808.61
4. Step 4: Simplify right side
   14,096.64x = 151,908,659.90
5. Step 5: Solve for x
   x = 151,908,659.90/14,096.64
6. Step 6: Final answer
   x = 10,776.23