Finding the Fourth Proportional to 13,870.64, 19,141.49 and 7,583.01

Step by Step Solution

1. Step 1: Write the proportion equation
   13,870.64 : 19,141.49 = 7,583.01 : x
2. Step 2: Convert to fraction form
   13,870.64/19,141.49 = 7,583.01/x
3. Step 3: Cross multiply
   13,870.64x = 19,141.49 × 7,583.01
4. Step 4: Simplify right side
   13,870.64x = 145,150,129.04
5. Step 5: Solve for x
   x = 145,150,129.04/13,870.64
6. Step 6: Final answer
   x = 10,464.56