Finding the Fourth Proportional to 9,514.31, 14,280.12 and 5,075.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,514.31 : 14,280.12 = 5,075.74 : x
2. Step 2: Convert to fraction form
   9,514.31/14,280.12 = 5,075.74/x
3. Step 3: Cross multiply
   9,514.31x = 14,280.12 × 5,075.74
4. Step 4: Simplify right side
   9,514.31x = 72,482,168.25
5. Step 5: Solve for x
   x = 72,482,168.25/9,514.31
6. Step 6: Final answer
   x = 7,618.23