Finding the Fourth Proportional to 1,053.50, 1,572.57 and 977.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,053.50 : 1,572.57 = 977.49 : x
2. Step 2: Convert to fraction form
   1,053.50/1,572.57 = 977.49/x
3. Step 3: Cross multiply
   1,053.50x = 1,572.57 × 977.49
4. Step 4: Simplify right side
   1,053.50x = 1,537,171.45
5. Step 5: Solve for x
   x = 1,537,171.45/1,053.50
6. Step 6: Final answer
   x = 1,459.12