Finding the Fourth Proportional to 10,077.57, 15,106.23 and 3,835.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.57 : 15,106.23 = 3,835.98 : x
2. Step 2: Convert to fraction form
   10,077.57/15,106.23 = 3,835.98/x
3. Step 3: Cross multiply
   10,077.57x = 15,106.23 × 3,835.98
4. Step 4: Simplify right side
   10,077.57x = 57,947,196.16
5. Step 5: Solve for x
   x = 57,947,196.16/10,077.57
6. Step 6: Final answer
   x = 5,750.12