Finding the Fourth Proportional to 9,826.32, 14,738.84 and 3,670.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826.32 : 14,738.84 = 3,670.16 : x
2. Step 2: Convert to fraction form
   9,826.32/14,738.84 = 3,670.16/x
3. Step 3: Cross multiply
   9,826.32x = 14,738.84 × 3,670.16
4. Step 4: Simplify right side
   9,826.32x = 54,093,901.01
5. Step 5: Solve for x
   x = 54,093,901.01/9,826.32
6. Step 6: Final answer
   x = 5,505.00