Finding the Fourth Proportional to 1,758.18, 2,637.86 and 784.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,758.18 : 2,637.86 = 784.30 : x
2. Step 2: Convert to fraction form
   1,758.18/2,637.86 = 784.30/x
3. Step 3: Cross multiply
   1,758.18x = 2,637.86 × 784.30
4. Step 4: Simplify right side
   1,758.18x = 2,068,873.60
5. Step 5: Solve for x
   x = 2,068,873.60/1,758.18
6. Step 6: Final answer
   x = 1,176.71