Finding the Fourth Proportional to 14,157.72, 19,538.15 and 7,784.57

Step by Step Solution

1. Step 1: Write the proportion equation
   14,157.72 : 19,538.15 = 7,784.57 : x
2. Step 2: Convert to fraction form
   14,157.72/19,538.15 = 7,784.57/x
3. Step 3: Cross multiply
   14,157.72x = 19,538.15 × 7,784.57
4. Step 4: Simplify right side
   14,157.72x = 152,096,106.27
5. Step 5: Solve for x
   x = 152,096,106.27/14,157.72
6. Step 6: Final answer
   x = 10,742.98