Finding the Fourth Proportional to 1,562.26, 2,342.78 and 782.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,562.26 : 2,342.78 = 782.02 : x
2. Step 2: Convert to fraction form
   1,562.26/2,342.78 = 782.02/x
3. Step 3: Cross multiply
   1,562.26x = 2,342.78 × 782.02
4. Step 4: Simplify right side
   1,562.26x = 1,832,100.82
5. Step 5: Solve for x
   x = 1,832,100.82/1,562.26
6. Step 6: Final answer
   x = 1,172.72