Finding the Fourth Proportional to 1,552, 2,141.76 and 853.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,552 : 2,141.76 = 853.42 : x
2. Step 2: Convert to fraction form
   1,552/2,141.76 = 853.42/x
3. Step 3: Cross multiply
   1,552x = 2,141.76 × 853.42
4. Step 4: Simplify right side
   1,552x = 1,827,820.82
5. Step 5: Solve for x
   x = 1,827,820.82/1,552
6. Step 6: Final answer
   x = 1,177.72