Finding the Fourth Proportional to 10,791.32, 14,892.31 and 6,075.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,791.32 : 14,892.31 = 6,075.78 : x
2. Step 2: Convert to fraction form
   10,791.32/14,892.31 = 6,075.78/x
3. Step 3: Cross multiply
   10,791.32x = 14,892.31 × 6,075.78
4. Step 4: Simplify right side
   10,791.32x = 90,482,399.25
5. Step 5: Solve for x
   x = 90,482,399.25/10,791.32
6. Step 6: Final answer
   x = 8,384.74