Finding the Fourth Proportional to 9,413.90, 12,987.72 and 5,637.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,413.90 : 12,987.72 = 5,637.14 : x
2. Step 2: Convert to fraction form
   9,413.90/12,987.72 = 5,637.14/x
3. Step 3: Cross multiply
   9,413.90x = 12,987.72 × 5,637.14
4. Step 4: Simplify right side
   9,413.90x = 73,213,595.92
5. Step 5: Solve for x
   x = 73,213,595.92/9,413.90
6. Step 6: Final answer
   x = 7,777.18