Finding the Fourth Proportional to 19,677.35, 29,507.31 and 5,634.17

Step by Step Solution

1. Step 1: Write the proportion equation
   19,677.35 : 29,507.31 = 5,634.17 : x
2. Step 2: Convert to fraction form
   19,677.35/29,507.31 = 5,634.17/x
3. Step 3: Cross multiply
   19,677.35x = 29,507.31 × 5,634.17
4. Step 4: Simplify right side
   19,677.35x = 166,249,345.72
5. Step 5: Solve for x
   x = 166,249,345.72/19,677.35
6. Step 6: Final answer
   x = 8,448.77