Finding the Fourth Proportional to 1,407.72, 2,107.98 and 975.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.72 : 2,107.98 = 975.72 : x
2. Step 2: Convert to fraction form
   1,407.72/2,107.98 = 975.72/x
3. Step 3: Cross multiply
   1,407.72x = 2,107.98 × 975.72
4. Step 4: Simplify right side
   1,407.72x = 2,056,798.25
5. Step 5: Solve for x
   x = 2,056,798.25/1,407.72
6. Step 6: Final answer
   x = 1,461.08