Finding the Fourth Proportional to 2,507.86, 3,758.37 and 1,465.66

Step by Step Solution

1. Step 1: Write the proportion equation
   2,507.86 : 3,758.37 = 1,465.66 : x
2. Step 2: Convert to fraction form
   2,507.86/3,758.37 = 1,465.66/x
3. Step 3: Cross multiply
   2,507.86x = 3,758.37 × 1,465.66
4. Step 4: Simplify right side
   2,507.86x = 5,508,492.57
5. Step 5: Solve for x
   x = 5,508,492.57/2,507.86
6. Step 6: Final answer
   x = 2,196.49