Finding the Fourth Proportional to 14,157.86, 19,538.08 and 7,784.74

Step by Step Solution

1. Step 1: Write the proportion equation
   14,157.86 : 19,538.08 = 7,784.74 : x
2. Step 2: Convert to fraction form
   14,157.86/19,538.08 = 7,784.74/x
3. Step 3: Cross multiply
   14,157.86x = 19,538.08 × 7,784.74
4. Step 4: Simplify right side
   14,157.86x = 152,098,804.59
5. Step 5: Solve for x
   x = 152,098,804.59/14,157.86
6. Step 6: Final answer
   x = 10,743.06