Finding the Fourth Proportional to 2,602.50, 3,904.17 and 871.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,602.50 : 3,904.17 = 871.53 : x
2. Step 2: Convert to fraction form
   2,602.50/3,904.17 = 871.53/x
3. Step 3: Cross multiply
   2,602.50x = 3,904.17 × 871.53
4. Step 4: Simplify right side
   2,602.50x = 3,402,601.28
5. Step 5: Solve for x
   x = 3,402,601.28/2,602.50
6. Step 6: Final answer
   x = 1,307.44