Finding the Fourth Proportional to 14,157.85, 19,538.06 and 7,784.71

Step by Step Solution

1. Step 1: Write the proportion equation
   14,157.85 : 19,538.06 = 7,784.71 : x
2. Step 2: Convert to fraction form
   14,157.85/19,538.06 = 7,784.71/x
3. Step 3: Cross multiply
   14,157.85x = 19,538.06 × 7,784.71
4. Step 4: Simplify right side
   14,157.85x = 152,098,131.06
5. Step 5: Solve for x
   x = 152,098,131.06/14,157.85
6. Step 6: Final answer
   x = 10,743.02