Finding the Fourth Proportional to 1,566.51, 2,350.37 and 642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.51 : 2,350.37 = 642.50 : x
2. Step 2: Convert to fraction form
   1,566.51/2,350.37 = 642.50/x
3. Step 3: Cross multiply
   1,566.51x = 2,350.37 × 642.50
4. Step 4: Simplify right side
   1,566.51x = 1,510,112.73
5. Step 5: Solve for x
   x = 1,510,112.73/1,566.51
6. Step 6: Final answer
   x = 964.00