Finding the Fourth Proportional to 5,123.84, 7,643.30 and 4,972.77

Step by Step Solution

1. Step 1: Write the proportion equation
   5,123.84 : 7,643.30 = 4,972.77 : x
2. Step 2: Convert to fraction form
   5,123.84/7,643.30 = 4,972.77/x
3. Step 3: Cross multiply
   5,123.84x = 7,643.30 × 4,972.77
4. Step 4: Simplify right side
   5,123.84x = 38,008,414.04
5. Step 5: Solve for x
   x = 38,008,414.04/5,123.84
6. Step 6: Final answer
   x = 7,417.96