Finding the Fourth Proportional to 1,758.98, 2,638.67 and 784.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,758.98 : 2,638.67 = 784.96 : x
2. Step 2: Convert to fraction form
   1,758.98/2,638.67 = 784.96/x
3. Step 3: Cross multiply
   1,758.98x = 2,638.67 × 784.96
4. Step 4: Simplify right side
   1,758.98x = 2,071,233.29
5. Step 5: Solve for x
   x = 2,071,233.29/1,758.98
6. Step 6: Final answer
   x = 1,177.52