Finding the Fourth Proportional to 2,541.61, 3,810.91 and 786.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,541.61 : 3,810.91 = 786.10 : x
2. Step 2: Convert to fraction form
   2,541.61/3,810.91 = 786.10/x
3. Step 3: Cross multiply
   2,541.61x = 3,810.91 × 786.10
4. Step 4: Simplify right side
   2,541.61x = 2,995,749.77
5. Step 5: Solve for x
   x = 2,995,749.77/2,541.61
6. Step 6: Final answer
   x = 1,178.68