Finding the Fourth Proportional to 13,825.77, 19,079.04 and 7,538.01

Step by Step Solution

1. Step 1: Write the proportion equation
   13,825.77 : 19,079.04 = 7,538.01 : x
2. Step 2: Convert to fraction form
   13,825.77/19,079.04 = 7,538.01/x
3. Step 3: Cross multiply
   13,825.77x = 19,079.04 × 7,538.01
4. Step 4: Simplify right side
   13,825.77x = 143,817,994.31
5. Step 5: Solve for x
   x = 143,817,994.31/13,825.77
6. Step 6: Final answer
   x = 10,402.17