Finding the Fourth Proportional to 1,567.16, 2,162.60 and 977.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,567.16 : 2,162.60 = 977.72 : x
2. Step 2: Convert to fraction form
   1,567.16/2,162.60 = 977.72/x
3. Step 3: Cross multiply
   1,567.16x = 2,162.60 × 977.72
4. Step 4: Simplify right side
   1,567.16x = 2,114,417.27
5. Step 5: Solve for x
   x = 2,114,417.27/1,567.16
6. Step 6: Final answer
   x = 1,349.20