Finding the Fourth Proportional to 13,870.16, 19,140.82 and 7,582.53

Step by Step Solution

1. Step 1: Write the proportion equation
   13,870.16 : 19,140.82 = 7,582.53 : x
2. Step 2: Convert to fraction form
   13,870.16/19,140.82 = 7,582.53/x
3. Step 3: Cross multiply
   13,870.16x = 19,140.82 × 7,582.53
4. Step 4: Simplify right side
   13,870.16x = 145,135,870.77
5. Step 5: Solve for x
   x = 145,135,870.77/13,870.16
6. Step 6: Final answer
   x = 10,463.89