Finding the Fourth Proportional to 2,525.84, 3,784.59 and 1,538.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,525.84 : 3,784.59 = 1,538.91 : x
2. Step 2: Convert to fraction form
   2,525.84/3,784.59 = 1,538.91/x
3. Step 3: Cross multiply
   2,525.84x = 3,784.59 × 1,538.91
4. Step 4: Simplify right side
   2,525.84x = 5,824,143.40
5. Step 5: Solve for x
   x = 5,824,143.40/2,525.84
6. Step 6: Final answer
   x = 2,305.82