Finding the Fourth Proportional to 1,057.50, 1,588.86 and 975.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057.50 : 1,588.86 = 975.42 : x
2. Step 2: Convert to fraction form
   1,057.50/1,588.86 = 975.42/x
3. Step 3: Cross multiply
   1,057.50x = 1,588.86 × 975.42
4. Step 4: Simplify right side
   1,057.50x = 1,549,805.82
5. Step 5: Solve for x
   x = 1,549,805.82/1,057.50
6. Step 6: Final answer
   x = 1,465.54