Finding the Fourth Proportional to 13,828.64, 19,083.52 and 7,541

Step by Step Solution

1. Step 1: Write the proportion equation
   13,828.64 : 19,083.52 = 7,541 : x
2. Step 2: Convert to fraction form
   13,828.64/19,083.52 = 7,541/x
3. Step 3: Cross multiply
   13,828.64x = 19,083.52 × 7,541
4. Step 4: Simplify right side
   13,828.64x = 143,908,824.32
5. Step 5: Solve for x
   x = 143,908,824.32/13,828.64
6. Step 6: Final answer
   x = 10,406.58