Finding the Fourth Proportional to 1,552.30, 2,142.15 and 853.66

Step by Step Solution

1. Step 1: Write the proportion equation
   1,552.30 : 2,142.15 = 853.66 : x
2. Step 2: Convert to fraction form
   1,552.30/2,142.15 = 853.66/x
3. Step 3: Cross multiply
   1,552.30x = 2,142.15 × 853.66
4. Step 4: Simplify right side
   1,552.30x = 1,828,667.77
5. Step 5: Solve for x
   x = 1,828,667.77/1,552.30
6. Step 6: Final answer
   x = 1,178.04