Finding the Fourth Proportional to 1,167.50, 1,751.00 and 345.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,167.50 : 1,751.00 = 345.78 : x
2. Step 2: Convert to fraction form
   1,167.50/1,751.00 = 345.78/x
3. Step 3: Cross multiply
   1,167.50x = 1,751.00 × 345.78
4. Step 4: Simplify right side
   1,167.50x = 605,459.05
5. Step 5: Solve for x
   x = 605,459.05/1,167.50
6. Step 6: Final answer
   x = 518.60