Finding the Fourth Proportional to 12,814.56, 17,685.27 and 7,780.08

Step by Step Solution

1. Step 1: Write the proportion equation
   12,814.56 : 17,685.27 = 7,780.08 : x
2. Step 2: Convert to fraction form
   12,814.56/17,685.27 = 7,780.08/x
3. Step 3: Cross multiply
   12,814.56x = 17,685.27 × 7,780.08
4. Step 4: Simplify right side
   12,814.56x = 137,592,815.42
5. Step 5: Solve for x
   x = 137,592,815.42/12,814.56
6. Step 6: Final answer
   x = 10,737.23