Finding the Fourth Proportional to 1,552.61, 2,142.59 and 853.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,552.61 : 2,142.59 = 853.98 : x
2. Step 2: Convert to fraction form
   1,552.61/2,142.59 = 853.98/x
3. Step 3: Cross multiply
   1,552.61x = 2,142.59 × 853.98
4. Step 4: Simplify right side
   1,552.61x = 1,829,724.74
5. Step 5: Solve for x
   x = 1,829,724.74/1,552.61
6. Step 6: Final answer
   x = 1,178.49