Finding the Fourth Proportional to 2,075.42, 2,864.34 and 1,191.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,075.42 : 2,864.34 = 1,191.50 : x
2. Step 2: Convert to fraction form
   2,075.42/2,864.34 = 1,191.50/x
3. Step 3: Cross multiply
   2,075.42x = 2,864.34 × 1,191.50
4. Step 4: Simplify right side
   2,075.42x = 3,412,861.11
5. Step 5: Solve for x
   x = 3,412,861.11/2,075.42
6. Step 6: Final answer
   x = 1,644.42