Finding the Fourth Proportional to 1,564.52, 2,346.52 and 686.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.52 : 2,346.52 = 686.82 : x
2. Step 2: Convert to fraction form
   1,564.52/2,346.52 = 686.82/x
3. Step 3: Cross multiply
   1,564.52x = 2,346.52 × 686.82
4. Step 4: Simplify right side
   1,564.52x = 1,611,636.87
5. Step 5: Solve for x
   x = 1,611,636.87/1,564.52
6. Step 6: Final answer
   x = 1,030.12