Finding the Fourth Proportional to 1,406.77, 1,942.29 and 875.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.77 : 1,942.29 = 875.87 : x
2. Step 2: Convert to fraction form
   1,406.77/1,942.29 = 875.87/x
3. Step 3: Cross multiply
   1,406.77x = 1,942.29 × 875.87
4. Step 4: Simplify right side
   1,406.77x = 1,701,186.48
5. Step 5: Solve for x
   x = 1,701,186.48/1,406.77
6. Step 6: Final answer
   x = 1,209.28