Finding the Fourth Proportional to 9,314.06, 13,971.04 and 3,767.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,314.06 : 13,971.04 = 3,767.34 : x
2. Step 2: Convert to fraction form
   9,314.06/13,971.04 = 3,767.34/x
3. Step 3: Cross multiply
   9,314.06x = 13,971.04 × 3,767.34
4. Step 4: Simplify right side
   9,314.06x = 52,633,657.83
5. Step 5: Solve for x
   x = 52,633,657.83/9,314.06
6. Step 6: Final answer
   x = 5,650.99