Finding the Fourth Proportional to 2,538.81, 3,808.35 and 807.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.81 : 3,808.35 = 807.57 : x
2. Step 2: Convert to fraction form
   2,538.81/3,808.35 = 807.57/x
3. Step 3: Cross multiply
   2,538.81x = 3,808.35 × 807.57
4. Step 4: Simplify right side
   2,538.81x = 3,075,509.21
5. Step 5: Solve for x
   x = 3,075,509.21/2,538.81
6. Step 6: Final answer
   x = 1,211.40