Finding the Fourth Proportional to 1,748.57, 2,623.05 and 578.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,748.57 : 2,623.05 = 578.72 : x
2. Step 2: Convert to fraction form
   1,748.57/2,623.05 = 578.72/x
3. Step 3: Cross multiply
   1,748.57x = 2,623.05 × 578.72
4. Step 4: Simplify right side
   1,748.57x = 1,518,011.50
5. Step 5: Solve for x
   x = 1,518,011.50/1,748.57
6. Step 6: Final answer
   x = 868.14