Finding the Fourth Proportional to 13,832.25, 19,089.18 and 7,784.38

Step by Step Solution

1. Step 1: Write the proportion equation
   13,832.25 : 19,089.18 = 7,784.38 : x
2. Step 2: Convert to fraction form
   13,832.25/19,089.18 = 7,784.38/x
3. Step 3: Cross multiply
   13,832.25x = 19,089.18 × 7,784.38
4. Step 4: Simplify right side
   13,832.25x = 148,597,431.01
5. Step 5: Solve for x
   x = 148,597,431.01/13,832.25
6. Step 6: Final answer
   x = 10,742.82