Finding the Fourth Proportional to 1,588.50, 2,192.16 and 880.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,588.50 : 2,192.16 = 880.38 : x
2. Step 2: Convert to fraction form
   1,588.50/2,192.16 = 880.38/x
3. Step 3: Cross multiply
   1,588.50x = 2,192.16 × 880.38
4. Step 4: Simplify right side
   1,588.50x = 1,929,933.82
5. Step 5: Solve for x
   x = 1,929,933.82/1,588.50
6. Step 6: Final answer
   x = 1,214.94