Finding the Fourth Proportional to 2,561.91, 3,844.69 and 1,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.91 : 3,844.69 = 1,977.50 : x
2. Step 2: Convert to fraction form
   2,561.91/3,844.69 = 1,977.50/x
3. Step 3: Cross multiply
   2,561.91x = 3,844.69 × 1,977.50
4. Step 4: Simplify right side
   2,561.91x = 7,602,850.31
5. Step 5: Solve for x
   x = 7,602,850.31/2,561.91
6. Step 6: Final answer
   x = 2,967.65