Finding the Fourth Proportional to 9,101.06, 13,656.90 and 3,835.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,101.06 : 13,656.90 = 3,835.75 : x
2. Step 2: Convert to fraction form
   9,101.06/13,656.90 = 3,835.75/x
3. Step 3: Cross multiply
   9,101.06x = 13,656.90 × 3,835.75
4. Step 4: Simplify right side
   9,101.06x = 52,384,389.25
5. Step 5: Solve for x
   x = 52,384,389.25/9,101.06
6. Step 6: Final answer
   x = 5,755.86