Finding the Fourth Proportional to 1,307.50, 1,805.52 and 975.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,307.50 : 1,805.52 = 975.35 : x
2. Step 2: Convert to fraction form
   1,307.50/1,805.52 = 975.35/x
3. Step 3: Cross multiply
   1,307.50x = 1,805.52 × 975.35
4. Step 4: Simplify right side
   1,307.50x = 1,761,018.72
5. Step 5: Solve for x
   x = 1,761,018.72/1,307.50
6. Step 6: Final answer
   x = 1,346.86