Finding the Fourth Proportional to 1,575.42, 2,174.00 and 876.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,575.42 : 2,174.00 = 876.75 : x
2. Step 2: Convert to fraction form
   1,575.42/2,174.00 = 876.75/x
3. Step 3: Cross multiply
   1,575.42x = 2,174.00 × 876.75
4. Step 4: Simplify right side
   1,575.42x = 1,906,050.12
5. Step 5: Solve for x
   x = 1,906,050.12/1,575.42
6. Step 6: Final answer
   x = 1,209.87