Finding the Fourth Proportional to 1,601.52, 2,385.86 and 1,542.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,601.52 : 2,385.86 = 1,542.75 : x
2. Step 2: Convert to fraction form
   1,601.52/2,385.86 = 1,542.75/x
3. Step 3: Cross multiply
   1,601.52x = 2,385.86 × 1,542.75
4. Step 4: Simplify right side
   1,601.52x = 3,680,768.85
5. Step 5: Solve for x
   x = 3,680,768.85/1,601.52
6. Step 6: Final answer
   x = 2,298.29