Finding the Fourth Proportional to 9,414.67, 12,991.27 and 5,637.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,414.67 : 12,991.27 = 5,637.74 : x
2. Step 2: Convert to fraction form
   9,414.67/12,991.27 = 5,637.74/x
3. Step 3: Cross multiply
   9,414.67x = 12,991.27 × 5,637.74
4. Step 4: Simplify right side
   9,414.67x = 73,241,402.53
5. Step 5: Solve for x
   x = 73,241,402.53/9,414.67
6. Step 6: Final answer
   x = 7,779.50