Finding the Fourth Proportional to 1,534.71, 2,117.82 and 871.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,534.71 : 2,117.82 = 871.47 : x
2. Step 2: Convert to fraction form
   1,534.71/2,117.82 = 871.47/x
3. Step 3: Cross multiply
   1,534.71x = 2,117.82 × 871.47
4. Step 4: Simplify right side
   1,534.71x = 1,845,616.60
5. Step 5: Solve for x
   x = 1,845,616.60/1,534.71
6. Step 6: Final answer
   x = 1,202.59