Finding the Fourth Proportional to 10,126.02, 13,974 and 5,588.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,126.02 : 13,974 = 5,588.91 : x
2. Step 2: Convert to fraction form
   10,126.02/13,974 = 5,588.91/x
3. Step 3: Cross multiply
   10,126.02x = 13,974 × 5,588.91
4. Step 4: Simplify right side
   10,126.02x = 78,099,428.34
5. Step 5: Solve for x
   x = 78,099,428.34/10,126.02
6. Step 6: Final answer
   x = 7,712.75