Finding the Fourth Proportional to 1,002.58, 1,501.79 and 782.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.58 : 1,501.79 = 782.96 : x
2. Step 2: Convert to fraction form
   1,002.58/1,501.79 = 782.96/x
3. Step 3: Cross multiply
   1,002.58x = 1,501.79 × 782.96
4. Step 4: Simplify right side
   1,002.58x = 1,175,830.07
5. Step 5: Solve for x
   x = 1,175,830.07/1,002.58
6. Step 6: Final answer
   x = 1,172.81