Finding the Fourth Proportional to 4,114.77, 5,681.50 and 4,106.57

Step by Step Solution

1. Step 1: Write the proportion equation
   4,114.77 : 5,681.50 = 4,106.57 : x
2. Step 2: Convert to fraction form
   4,114.77/5,681.50 = 4,106.57/x
3. Step 3: Cross multiply
   4,114.77x = 5,681.50 × 4,106.57
4. Step 4: Simplify right side
   4,114.77x = 23,331,428.51
5. Step 5: Solve for x
   x = 23,331,428.51/4,114.77
6. Step 6: Final answer
   x = 5,670.17