Finding the Fourth Proportional to 1,147.50, 1,583.06 and 774.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.50 : 1,583.06 = 774.59 : x
2. Step 2: Convert to fraction form
   1,147.50/1,583.06 = 774.59/x
3. Step 3: Cross multiply
   1,147.50x = 1,583.06 × 774.59
4. Step 4: Simplify right side
   1,147.50x = 1,226,210.66
5. Step 5: Solve for x
   x = 1,226,210.66/1,147.50
6. Step 6: Final answer
   x = 1,068.59