Finding the Fourth Proportional to 13,870.85, 19,142.33 and 7,583.22

Step by Step Solution

1. Step 1: Write the proportion equation
   13,870.85 : 19,142.33 = 7,583.22 : x
2. Step 2: Convert to fraction form
   13,870.85/19,142.33 = 7,583.22/x
3. Step 3: Cross multiply
   13,870.85x = 19,142.33 × 7,583.22
4. Step 4: Simplify right side
   13,870.85x = 145,160,461.79
5. Step 5: Solve for x
   x = 145,160,461.79/13,870.85
6. Step 6: Final answer
   x = 10,465.15