Finding the Fourth Proportional to 2,165.88, 2,985.72 and 1,534.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,165.88 : 2,985.72 = 1,534.46 : x
2. Step 2: Convert to fraction form
   2,165.88/2,985.72 = 1,534.46/x
3. Step 3: Cross multiply
   2,165.88x = 2,985.72 × 1,534.46
4. Step 4: Simplify right side
   2,165.88x = 4,581,452.98
5. Step 5: Solve for x
   x = 4,581,452.98/2,165.88
6. Step 6: Final answer
   x = 2,115.28