Finding the Fourth Proportional to 1,534.47, 2,117.61 and 871.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,534.47 : 2,117.61 = 871.31 : x
2. Step 2: Convert to fraction form
   1,534.47/2,117.61 = 871.31/x
3. Step 3: Cross multiply
   1,534.47x = 2,117.61 × 871.31
4. Step 4: Simplify right side
   1,534.47x = 1,845,094.77
5. Step 5: Solve for x
   x = 1,845,094.77/1,534.47
6. Step 6: Final answer
   x = 1,202.43