Finding the Fourth Proportional to 13,830.25, 19,086.42 and 7,782.38

Step by Step Solution

1. Step 1: Write the proportion equation
   13,830.25 : 19,086.42 = 7,782.38 : x
2. Step 2: Convert to fraction form
   13,830.25/19,086.42 = 7,782.38/x
3. Step 3: Cross multiply
   13,830.25x = 19,086.42 × 7,782.38
4. Step 4: Simplify right side
   13,830.25x = 148,537,773.28
5. Step 5: Solve for x
   x = 148,537,773.28/13,830.25
6. Step 6: Final answer
   x = 10,740.06