Finding the Fourth Proportional to 2,538.48, 3,499.77 and 1,864.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.48 : 3,499.77 = 1,864.14 : x
2. Step 2: Convert to fraction form
   2,538.48/3,499.77 = 1,864.14/x
3. Step 3: Cross multiply
   2,538.48x = 3,499.77 × 1,864.14
4. Step 4: Simplify right side
   2,538.48x = 6,524,061.25
5. Step 5: Solve for x
   x = 6,524,061.25/2,538.48
6. Step 6: Final answer
   x = 2,570.07