Finding the Fourth Proportional to 2,525.60, 3,784.91 and 1,290.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,525.60 : 3,784.91 = 1,290.40 : x
2. Step 2: Convert to fraction form
   2,525.60/3,784.91 = 1,290.40/x
3. Step 3: Cross multiply
   2,525.60x = 3,784.91 × 1,290.40
4. Step 4: Simplify right side
   2,525.60x = 4,884,041.63
5. Step 5: Solve for x
   x = 4,884,041.63/2,525.60
6. Step 6: Final answer
   x = 1,933.82