Finding the Fourth Proportional to 1,659.93, 2,488.52 and 782.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,659.93 : 2,488.52 = 782.00 : x
2. Step 2: Convert to fraction form
   1,659.93/2,488.52 = 782.00/x
3. Step 3: Cross multiply
   1,659.93x = 2,488.52 × 782.00
4. Step 4: Simplify right side
   1,659.93x = 1,946,006.29
5. Step 5: Solve for x
   x = 1,946,006.29/1,659.93
6. Step 6: Final answer
   x = 1,172.34